A Characterization of Certain Families of 4-Valent Symmetric Graphs

A Classification of the Strongly Regular Generalised Johnson Graphs

A Path-Deformation Framework for Determining Weighted Genome Rearrangement Distance

scientific article published on 24 September 2020

A Reduction Algorithm for Large-Base Primitive Permutation Groups

scientific article published in 2006

A characterisation of weakly locally projective amalgams related to A 16 and the sporadic simple groups M 24 and He

A characterization of some alternating and symmetric groups

A class of finite symmetric graphs with 2-arc transitive quotients

A classification of the maximal subgroups of the finite alternating and symmetric groups

article published in 1987

A graph-theoretic description of scale-multiplicative semigroups of automorphisms

scholarly article

A new family of locally 5-arc transitive graphs

A new solvability criterion for finite groups

A note on arc-transitive circulant digraphs

A recognition algorithm for non-generic classical groups over finite fields

ALGORITHMS TO IDENTIFY ABUNDANT p-SINGULAR ELEMENTS IN FINITE CLASSICAL GROUPS

Abelian coverings of finite general linear groups and an application to their non-commuting graphs

Abundant p -singular elements in finite classical groups

Affine distance-transitive groups with alternating or symmetric point stabiliser

Affine transformations of finite vector spaces with large orders or few cycles

Alternating Groups Acting on Finite Linear Spaces

An Inequality for Tactical Configurations

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An infinite family of biquasiprimitive 2-arc transitive cubic graphs

Antipodal Distance-transitive Covers of Complete Bipartite Graphs

Arithmetic results on orbits of linear groups

Balanced directed cycle designs based on groups

Base sizes of imprimitive linear groups and orbits of general linear groups on spanning tuples ⬇️

Basic and degenerate pregeometries

Basic coset geometries

Bernhard Hermann Neumann 1909–2002

Bernhard Hermann Neumann, 1909-2002

Bipartite Divisor Graphs for Integer Subsets

Block-transitive t-designs I: point-imprimitive designs

Block-transitive, point-imprimitive designs with λ = 1

Bounding the composition length of primitive permutation groups and completely reducible linear groups

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Bounding the size of a vertex-stabiliser in a finite vertex-transitive graph

Bounds on finite quasiprimitive permutation groups

Centraliser codes

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Characterizing finite locally s-arc transitive graphs with a star normal quotient

Classification of line-transitive point-imprimitive linear spaces with line size at most 12

Closures of Finite Primitive Permutation Groups

article published in 1992

Common circulant homogeneous factorisations of the complete digraph

Completely Transitive Codes in Hamming Graphs

Computing with group homomorphisms

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Constructing Homogeneous Factorisations of Complete Graphs and Digraphs

article by Cai Heng Li & Cheryl Praeger published 1 December 2002 in Graphs and Combinatorics

Constructing flag-transitive, point-imprimitive designs

Constructing the vertex-transitive graphs of order 24

Construction of the Outer Automorphism of $${\mathcal {S}}_{6}$$S6 via a Complex Hadamard Matrix

Constructive recognition of finite alternating and symmetric groups acting as matrix groups on their natural permutation modules

Conway’s groupoid and its relatives

Coprime subdegrees for primitive permutation groups and completely reducible linear groups

Covering subgroups of groups and Kronecker classes of fields

Cross Ratio Graphs

Cyclic Matrices in Classical Groups over Finite Fields

Decomposing modular tensor products, and periodicity of ‘Jordan partitions’

Decomposing modular tensor products: ‘Jordan partitions’, their parts and p-parts

Delandtsheer–Doyen parameters for block-transitive point-imprimitive 2-designs

scientific article published in 2022

Derangements and Eigenvalue-Free Elements in Finite Classical Groups

Diagonally neighbour transitive codes and frequency permutation arrays

Direct factors of sylow groups

Doubly transitive automorphism groups of block designs

Doubly transitive permutation groups in which the one-point stabilizer is triply transitive on a set of blocks

Doubly transitive permutation groups which are not doubly primitive

EDITORIAL TO THIS SPECIAL ISSUE IN MEMORY OF LACI KOVÁCS

ELUSIVE CODES IN HAMMING GRAPHS

EMBEDDING PERMUTATION GROUPS INTO WREATH PRODUCTS IN PRODUCT ACTION

Editorial

editorial published in 2003

Entry-faithful 2-neighbour transitive codes

Estimating proportions of elements in finite groups of Lie type

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Extremely primitive classical groups

Extremely primitive sporadic and alternating groups

FIXED-POINT-FREE PERMUTATIONS IN TRANSITIVE PERMUTATION GROUPS OF PRIME-POWER ORDER

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Factorisations of characteristically simple groups

article by Cheryl Praeger & Csaba Schneider published September 2002 in Journal of Algebra

Finding Optimal Routings in Hamming Graphs

Finding involutions in finite Lie type groups of odd characteristic

Finite 2-Geodesic Transitive Graphs of Prime Valency

Finite edge-transitive oriented graphs of valency four with cyclic normal quotients

Finite groups in which any two elements of the same order are either fused or inverse-fused

Finite line-transitive linear spaces: Theory and search strategies

Finite locally-quasiprimitive graphs

Finite normal edge-transitive Cayley graphs

Finite permutation groups with a transitive minimal normal subgroup

Finite primitive permutation groups and regular cycles of their elements

Finite primitive permutation groups containing a permutation having at most four cycles

Finite symmetric graphs with two-arc transitive quotients

Finite two-are transitive graphs admitting a ree simple group

article by Xin Gui Fang & Cheryl Praeger published January 1999 in Communications in Algebra

Flag-transitive symmetric 2- ( 96 , 20 , 4 ) -designs

Generalized Quadrangles and Transitive Pseudo-Hyperovals

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Generation of finite classical groups by pairs of elements with large fixed point spaces

Graphs with automorphism groups admitting composition factors of bounded rank

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Group factorisations, uniform automorphisms, and permutation groups of simple diagonal type

Homogeneous factorisations of Johnson graphs

Homogeneous factorisations of complete graphs with edge-transitive factors

article by Cai Heng Li et al published 26 February 2008 in Journal of Algebraic Combinatorics

Homogeneous factorisations of complete multipartite graphs

Homogeneous factorisations of graph products

article published in 2008

Homogeneous factorisations of graphs and digraphs

Identifying long cycles in finite alternating and symmetric groups acting on subsets

Imprimitive flag-transitive symmetric designs

Imprimitive symmetric graphs with cyclic blocks

Inclusions of innately transitive groups into wreath products in product action with applications to 2-arc-transitive graphs

article published in 2016

Inequalities involving the Delandtsheer–Doyen parameters for finite line-transitive linear spaces

Infinitary Versions of the O'Nan-Scott Theorem

scientific article published in May 1994

Infinite highly arc transitive digraphs and universal covering digraphs

Intransitive Cartesian decompositions preserved by innately transitive permutation groups

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Irreducible linear subgroups generated by pairs of matrices with large irreducible submodules

Isomorphisms of Finite Cayley Digraphs of Bounded Valency

Line-Transitive Automorphism Groups of Linear Spaces

Linear Groups with Orders Having Certain Large Prime Divisors

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Local 2-geodesic transitivity and clique graphs

Locally 2-arc transitive graphs, homogeneous factorizations, and partial linear spaces

Locally s -distance transitive graphs and pairwise transitive designs

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Locally s-arc transitive graphs with two different quasiprimitive actions

Locally triangular graphs and rectagraphs with symmetry ⬇️

MAXIMAL SUBSETS OF PAIRWISE NONCOMMUTING ELEMENTS OF THREE-DIMENSIONAL GENERAL LINEAR GROUPS

Maximal Subgroups of Infinite Symmetric Groups

Most abelianp-groups are determined by the Jacobson radical of their endomorphism rings

Movement and Separation of Subsets of Points Under Group Actions

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Neighbour transitivity on codes in Hamming graphs

Neighbour-transitive codes in Johnson graphs

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New characterisations of the Nordstrom-Robinson codes

Nilpotent-independent sets and estimation in matrix algebras ⬇️

scholarly article by Brian P. Corr et al published 2015 in LMS Journal of Computation and Mathematics

Non-symmetric nearly triply regular designs

Normal coverings and pairwise generation of finite alternating and symmetric groups

Normal coverings of finite symmetric and alternating groups

Normal edge-transitive Cayley graphs of Frobenius groups

Note on primitive permutation groups and a diophantine equation

On 2-arc transitive graphs of girth 4

On 4-Valent Symmetric Graphs

On Classifying All Full Factorisations and Multiple-Factorisations of the Finite Almost Simple Groups

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On Factorizations of Almost Simple Groups

article by Martin W. Liebeck et al published October 1996 in Journal of Algebra

On Finite Affine 2-Arc Transitive Graphs

On Graphs Admitting Arc-Transitive Actions of Almost Simple Groups

article by Xin Gui Fang et al published July 1998 in Journal of Algebra

On Non-Cayley Vertex-Transitive Graphs of Order a Product of Three Primes

On Primitive Representations of Finite Alternating and Symmetric Groups with a 2-Transitive Subconstituent

On Transitive Permutation Groups with Primitive Subconstituents

On a theorem of Wielandt for finite primitive permutation groups

On bipartite divisor graphs for group conjugacy class sizes

On block-transitive designs with affine automorphism group

On elements of prime order in primitive permutation groups

On finite groups with the cayley isomorphism property

On finite permutation groups with a transitive cyclic subgroup

On generalised Paley graphs and their automorphism groups

On geodesic transitive graphs

On imprimitive rank 3 permutation groups

On limit graphs of finite vertex-primitive graphs

On minimal faithful permutation representations of finite groups

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On normal 2-geodesic transitive Cayley graphs

On orbital regular graphs and frobenius graphs

On permutation groups with bounded movement

On permutations of order dividing a given integer ⬇️

On primitive overgroups of quasiprimitive permutation groups

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On proportions of pre-involutions in finite classical groups

On semiregular permutations of a finite set

On the Automorphism Groups of Cayley Graphs of Finite Simple Groups

On the Automorphism Groups of Quasiprimitive Almost Simple Graphs

article by Xin Gui Fang et al published December 1999 in Journal of Algebra

On the Movement of a Permutation Group

On the O'Nan-Scott theorem for finite primitive permutation groups

On the Sylow subgroups of a doubly transitive permutation group

On the Sylow subgroups of a doubly transitive permutation group. II

On the Weiss conjecture for finite locally primitive graphs

On the complexity of multiplication in the Iwahori–Hecke algebra of the symmetric group ⬇️

scholarly article by Alice C. Niemeyer et al published May 2017 in Journal of Symbolic Computation

On the dimension of twisted centralizer codes

scholarly article by Adel Alahmadi et al published November 2017 in Finite Fields and Their Applications

On the distance between distinct group Latin squares

On the domination number of the generalized Petersen graphs

On the frequency of permutations containing a long cycle

On the maximal number of coprime subdegrees in finite primitive permutation groups

On the order of linear groups of fixed finite exponent

article published in 1976

On the proportion of permutations of order a multiple of the degree

On transitive Cayley graphs of groups and semigroups

On triple factorizations of finite groups

Optimal worst case trees

Ovoids and Translation Ovals

PRIMITIVE PRIME DIVISORS AND THE TH CYCLOTOMIC POLYNOMIAL ⬇️

article published in 2015

Pairwise transitive 2-designs

Partition graphs for finite symmetric groups

Permutation groups, simple groups, and sieve methods

Permutations with Restricted Cycle Structure and an Algorithmic Application

Point-primitive generalised hexagons and octagons

Point-primitive, line-transitive generalised quadrangles of holomorph type

Primary cyclic matrices in irreducible matrix subalgebras

Primitive Permutation Groups with a Common Suborbit, and Edge-Transitive Graphs

article published in 2002

Primitive decompositions of Johnson graphs

Primitive permutation groups and a characterization of the odd graphs

Primitive permutation groups containing a p-element of small degree, p a prime, II

Primitive permutation groups containing an element of order p of small degree, p a prime

Primitive permutation groups with a suborbit of length 5 and vertex-primitive graphs of valency 5

Probabilistic generation of finite classical groups in odd characteristic by involutions

Problem Session at ALCOM-91

Proportion of cyclic matrices in maximal reducible matrix algebras

scholarly article by Scott Brown et al published November 2012 in Journal of Algebra

Proportions of elements with given 2-part order in finite classical groups of odd characteristic

Proportions of elements with given 2-part order in the symmetric group

Proportions of r -regular elements in finite classical groups

Quasiprimitive groups and blow-up decompositions

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Quasiprimitivity: structure and combinatorial applications

Quotient-complete arc-transitive graphs

Quotients and inclusions of finite quasiprimitive permutation groups

Quotients of incidence geometries

REGULAR PERMUTATION GROUPS AND CAYLEY GRAPHS

Random generation of direct sums of finite non-degenerate subspaces

scientific article published in 2022

Rank 3 Transitive Decompositions of Complete Multipartite Graphs

article by Geoffrey Pearce & Cheryl Praeger published 11 December 2011 in Graphs and Combinatorics

Regular semisimple elements and involutions in finite general linear groups of odd characteristic

Regular subgroups of primitive permutation groups

Remarks on Path-transitivity in Finite Graphs

SELF-COMPLEMENTARY VERTEX-TRANSITIVE GRAPHS NEED NOT BE CAYLEY GRAPHS

SIMPLE GROUPS, PRODUCT ACTIONS, AND GENERALIZED QUADRANGLES

SOME INFINITE PERMUTATION GROUPS AND RELATED FINITE LINEAR GROUPS

Seminormal and subnormal subgroup lattices for transitive permutation groups

Set-homogeneous directed graphs

Some graphs related to the small Mathieu groups

Some locally 3-arc transitive graphs constructed from triality

Sporadic neighbour-transitive codes in Johnson graphs

article published in 2013

Strong involutions in finite special linear groups of odd characteristic

Subsets Close to Invariant Subsets for Group Actions

scholarly article by Leonid Brailovsky et al published August 1995 in Proceedings of the American Mathematical Society

Subsets close to invariant subsets for group actions

Sylow subgroups of transitive permutation groups

Symmetric diameter two graphs with affine-type vertex-quasiprimitive automorphism group

Symmetry properties of subdivision graphs

THE CONTRIBUTION OF L. G. KOVÁCS TO THE THEORY OF PERMUTATION GROUPS

Tetravalent Graphs Admitting Half-Transitive Group Actions: Alternating Cycles

The Mathematics of Donald Gordon Higman

The Maximal Number of Orbits of a Permutation Group with Bounded Movement

The classification of almost simple $\tfrac {3}{2}$-transitive groups

article by John Bamberg et al published 12 March 2013 in Transactions of the American Mathematical Society

The finite simple groups with at most two fusion classes of every order

article by Cai Heng Li et al published January 1996 in Communications in Algebra

The flag-transitive symmetric designs with 45 points, blocks of size 12, and 3 blocks on every point pair

The locally 2-arc transitive graphs admitting a Ree simple group

The maximal factorizations of the finite simple groups and their automorphism groups

scientific article published in 1990

The probability of spanning a classical space by two non-degenerate subspaces of complementary dimensions

scientific article published in 2022

Three types of inclusions of innately transitive permutation groups into wreath products in product action

article published in 2007

Topological covers of complete graphs

article by A. GARDINER & Cheryl Praeger published May 1998 in Mathematical Proceedings of the Cambridge Philosophical Society

Total closure for permutation actions of finite nonabelian simple groups

scientific article published on 2 March 2023

Towards an efficient Meat-axe algorithm using f-cyclic matrices: The density of uncyclic matrices in M ( n , q )

Transitive Permutation Groups of Minimal Movement

Transitive Permutation Groups with Bounded Movement Having Maximal Degree

Transitive Subgroups of Primitive Permutation Groups

Transitive decompositions of graph products: rank 3 grid type

Transitive simple subgroups of wreath products in product action

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Triple factorisations of the general linear group and their associated geometries

Twisted centralizer codes

Twisted permutation codes

Two-arc closed subsets of graphs

Two-sided Group Digraphs and Graphs

Uniqueness of certain completely regular Hadamard codes

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Unitals in the Desarguesian projective plane of order 16

Vertex-primitive groups and graphs of order twice the product of two distinct odd primes

Vertex‐transitive graphs that are not Cayley graphs. II