ON THE GENERATING GRAPH OF A SIMPLE GROUP

DOI10.1017/S1446788716000458zbMath1425.20010MaRDI QIDQ4591205

Attila Maróti, Colva M. Roney-Dougal, Andrea Lucchini

Publication date: 13 November 2017

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

finite groupgenerating graph

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Simple groups: alternating groups and groups of Lie type (20D06) Probabilistic methods in group theory (20P05)

Related Items (4)

Generating sets of finite groups ⋮ The non-commuting, non-generating graph of a non-simple group ⋮ The independence graph of a finite group ⋮ Maximal cocliques in PSL₂(q)

Uses Software

• GAP

Cites Work

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• The probability of generating a finite simple group.
• Growth of cross-characteristic representations of finite quasisimple groups of Lie type.
• Probabilistic generation of finite simple groups. II.
• On the spread of finite simple groups
• Probabilistic generation of finite simple groups
• On the orders of primitive groups
• Simple groups, probabilistic methods, and a conjecture of Kantor and Lubotzky
• The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
• On the Orders of Maximal Subgroups of the Finite Classical Groups
• Composition Factors from the Group Ring and Artin's Theorem on Orders of Simple Groups

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