Cayley Digraphs of Finite Simple Groups with Small Out-Valency

DOI10.1081/AGB-120027974zbMath1054.05052MaRDI QIDQ3154516

Jie Wang, Zai Ping Lu, Xin Gui Fang, Ming-Yao Xu

Publication date: 14 January 2005

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

normalityfinite simple groupsregular representationCayley digraphs

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items

Oriented regular representations of out-valency two for finite simple groups, Normal Cayley digraphs of cyclic groups with CI-property, Normal Cayley digraphs of dihedral groups with CI-property, On arc-transitive Cayley digraphs of out-valency 3, Cayley digraphs of 2-genetic groups of odd prime-power order, Bipartite edge-transitive bi-p-metacirculants, Normal Cayley digraphs of generalized quaternion groups with CI-property

Cites Work

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• Maximal subgroups of \(G_2(2^n)\)
• On the full automorphism group of a graph
• Generation of classical groups
• On cubic Cayley graphs of finite simple groups
• An O'Nan-Scott Theorem for Finite Quasiprimitive Permutation Groups and an Application to 2-Arc Transitive Graphs
• On a class of doubly transitive groups
• Automorphisms of trivalent graphs