Maps, simple groups, and arc-transitive graphs

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Simple groups: sporadic groups (20D08) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Simple groups: alternating groups and groups of Lie type (20D06)

Cites Work

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Classification of regular embeddings of \(n\)-dimensional cubes
The embedding \(O(2m,2^ k)\leq Sp(2m,2^ k)\)
Factorisations of sporadic simple groups.
Subgroups of prime power index in a simple group
Regular orientable imbeddings of complete graphs
The factorizations of the finite exceptional groups of Lie type
The maximal subgroups of the Chevalley groups \(G_ 2(q)\) with q odd, the Ree groups \(2G_ 2(q)\), and their automorphism groups
The factorisation of the alternating and symmetric groups
The Magma algebra system. I: The user language
On the theory of power residues
Automorphisms and regular embeddings of merged Johnson graphs
On solvable factors of almost simple groups
Bipartite graph embeddings, Riemann surfaces and Galois groups
Factorizations of almost simple groups with a factor having many nonsolvable composition factors
Realizing finite edge-transitive orientable maps
The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
UNICELLULAR DESSINS AND A UNIQUENESS THEOREM FOR KLEIN'S RIEMANN SURFACE OF GENUS 3
Regular subgroups of primitive permutation groups
The maximal factorizations of the finite simple groups and their automorphism groups
Regular embeddings of complete bipartite graphs: classification and enumeration
The Affine Permutation Groups of Rank Three
Composition Factors from the Group Ring and Artin's Theorem on Orders of Simple Groups
Characterisation of Graphs which Underlie Regular Maps on Closed Surfaces
Locally finite, planar, edge-transitive graphs
Edge-transitive embeddings of complete graphs
Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups
On Doubly Transitive Groups of Degree n and Order 2(n − 1)n
Endliche Gruppen I
Locally finite vertex-rotary maps and coset graphs with finite valency and finite edge multiplicity

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