On cubic graphical regular representations of finite simple groups

DOI10.1016/j.jctb.2019.06.002zbMath1430.05079arXiv1709.09157OpenAlexW2962912342MaRDI QIDQ2284735

Binzhou Xia

Publication date: 15 January 2020

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.09157

zbMATH Keywords

Cayley graphfinite simple groupscubic graphgraphical regular representation

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Representation theory of groups (20C99) Graph representations (geometric and intersection representations, etc.) (05C62)

Related Items (5)

Cubic graphical regular representations of \(\mathrm{PSU}_3(q)\) ⋮ Oriented regular representations of out-valency two for finite simple groups ⋮ Cubic graphical regular representations of Ree groups ⋮ Cubic graphical regular representations of some classical simple groups ⋮ On oriented \(m\)-semiregular representations of finite groups about valency two

Uses Software

• Magma

Cites Work

• Cubic graphical regular representations of \(\operatorname{PSL}_2(q)\)
• Generation of finite simple groups by an involution and an element of prime order
• On cubic Cayley graphs of finite simple groups
• The Magma algebra system. I: The user language
• The automorphism groups of some cubic Cayley graphs
• Fixed point ratios in actions of finite exceptional groups of Lie type.
• Classical groups, probabilistic methods, and the \((2,3)\)-generation problem
• The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
• Classical Groups, Derangements and Primes
• The maximal factorizations of the finite simple groups and their automorphism groups
• Cubic graphical regular representations of finite non-abelian simple groups
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