Generalized bases of finite groups

DOI10.1007/s00013-021-01589-xOpenAlexW3134332069MaRDI QIDQ2040286

Benjamin Sambale

Publication date: 13 July 2021

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.04040

zbMATH Keywords

basefusion\(p\)-nilpotent centralizer

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) General theory for finite permutation groups (20B05)

Uses Software

• GAP

Cites Work

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• Simple fusion systems over \(p\)-groups with abelian subgroup of index \(p\). I.
• Every coprime linear group admits a base of size two
• The minimal base size for a 𝑝-solvable linear group
• Nonsolvable finite groups all of whose local subgroups are solvable
• Endliche Gruppen I