Maximal cocliques in the generating graphs of the alternating and symmetric groups

DOI10.5070/C62156879MaRDI QIDQ5052165

Colva M. Roney-Dougal, Veronica Kelsey

Publication date: 21 November 2022

Published in: Combinatorial Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.12021

zbMATH Keywords

symmetric groupsalternating groupsgenerating graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Simple groups: alternating groups and groups of Lie type (20D06) Subgroups of symmetric groups (20B35)

Uses Software

• Magma

Cites Work

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• The Magma algebra system. I: The user language
• Simple groups, probabilistic methods, and a conjecture of Kantor and Lubotzky
• The non-isolated vertices in the generating graph of a direct powers of simple groups.
• Approximate formulas for some functions of prime numbers
• The spread of a finite group
• On the clique number of the generating graph of a finite group
• Minimal Degrees of Primitive Permutation Groups, with an Application to Monodromy Groups of Covers of Riemann Surfaces
• Generating sets of finite groups
• Maximal cocliques in PSL₂(q)
• PRIMITIVE PERMUTATION GROUPS CONTAINING A CYCLE
• Sur les bases du groupe symétrique et du groupe alternant

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