The expected number of elements to generate a finite group with \(d\)-generated Sylow subgroups

DOI10.1216/RMJ-2018-48-6-1963zbMath1499.20204arXiv1707.07193OpenAlexW2964093002MaRDI QIDQ1627604

Mariapia Moscatiello, Andrea Lucchini

Publication date: 30 November 2018

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.07193

zbMATH Keywords

permutation groupswaiting timeSylow subgroupsgroups generation

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Probabilistic methods in group theory (20P05)

Uses Software

• GAP
• PARI/GP

Cites Work

• Unnamed Item
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• Subgroup growth.
• A bound on the expected number of random elements to generate a finite group all of whose Sylow subgroups are \(d\)-generated
• On minimal faithful permutation representations of finite groups
• On the number of generators of a finite group
• The expected number of random elements to generate a finite Abelian group

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