On Cayley representations of central Cayley graphs over almost simple groups

DOI10.1007/s10801-022-01166-7OpenAlexW4294586788MaRDI QIDQ2688254

Jin Guo, Wen-Bin Guo, Andrey V. Vasilev, Grigoriĭ Konstantinovich Ryabov

Publication date: 2 March 2023

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.05838

zbMATH Keywords

Cayley graphalmost simple groupCayley isomorphismCayley representation

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Simple groups: alternating groups and groups of Lie type (20D06) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60) Subgroups of symmetric groups (20B35) Group actions on combinatorial structures (05E18)

Related Items (1)

Generalized Schur groups

Cites Work

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• Schur covers and Carlitz's conjecture
• Automorphism group of the complete transposition graph
• Small-diameter Cayley graphs for finite simple groups
• On the isomorphism problem for cyclic combinatorial objects
• On quasiabelian Cayley graphs and graphical doubly regular representations
• Quasi-abelian Cayley graphs and Parsons graphs
• Testing isomorphism of central Cayley graphs over almost simple groups in polynomial time
• On isomorphisms of finite Cayley graphs---a survey
• Generation of almost simple groups
• Expander graphs in pure and applied mathematics
• Recognizing and Testing Isomorphism of Cayley Graphs over an Abelian Group of Order 4p in Polynomial Time
• Regular subgroups of primitive permutation groups
• Isomorphism problem for a class of point-symmetric structures
• On the Automorphism Groups of Cayley Graphs of Finite Simple Groups
• A family of permutation groups with exponentially many nonconjugated regular elementary abelian subgroups
• Circulant graphs: recognizing and isomorphism testing in polynomial time
• On Cayley representations of finite graphs over Abelian $p$-groups
• Finite edge-transitive Cayley graphs and rotary Cayley maps

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