Exponent preserving subgroups of the finite simple groups

DOI10.1080/00927872.2016.1233213zbMath1401.20023arXiv1512.04890OpenAlexW2963090247MaRDI QIDQ5274847

Andrea Pachera

Publication date: 6 July 2017

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.04890

zbMATH Keywords

exponentSylow subgroupfinite simple group

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Subgroup theorems; subgroup growth (20E07) Simple groups (20E32) Finite simple groups and their classification (20D05)

Cites Work

• On boundedly generated subgroups of profinite groups.
• Exponent and \(p\)-rank of finite \(p\)-groups and applications.
• Unipotent classes in the classical groups parameterized by subgroups.
• Transitive subgroups of primitive permutation groups
• \(A_ 1\)-type overgroups of elements of order \(p\) in semisimple algebraic groups and the associated finite groups
• Coprime invariable generation and minimal-exponent groups.
• Twisted wreath products and Sylow 2-subgroups of classical simple groups
• The Sylow 2-subgroups of the finite classical groups
• Boundedly generated subgroups of finite groups
• ON THE PRIME GRAPH OF SIMPLE GROUPS

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