Cubic graphical regular representations of \(\mathrm{PSL}_3(q)\)

DOI10.1016/j.disc.2019.111646zbMath1429.05096OpenAlexW4206782369MaRDI QIDQ2279292

Binzhou Xia

Publication date: 12 December 2019

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2019.111646

zbMATH Keywords

Cayley graphscubic graphsprojective special linear groupsgraphical regular representations

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Linear algebraic groups over finite fields (20G40) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

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

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• Linear Groups with Orders Having Certain Large Prime Divisors
• Classification of finite groups that admit an oriented regular representation
• Cubic graphical regular representations of finite non-abelian simple groups
• The arc-types of Cayley graphs

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