Recognizing Abelian Sylow Subgroups in Finite Groups

DOI10.1080/00927872.2014.974261zbMath1334.20018arXiv1407.4495OpenAlexW1653175377MaRDI QIDQ3448581

Julian M. A. Brough

Publication date: 26 October 2015

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

Full work available at URL: https://arxiv.org/abs/1407.4495

zbMATH Keywords

finite groupssporadic simple groupsAbelian Sylow subgroupsclass sizes of \(p\)-elements

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Simple groups: sporadic groups (20D08) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06)

Cites Work

• Group theoretic and group ring theoretic determination of certain Sylow and Hall subgroups and the resolution of a question of R. Brauer
• The Finite Simple Groups
• Finite groups with two conjugacy classes ofp-elements and related questions forp-blocks
• The centralizer of a regular unipotent element in a semisimple algebraic group
• Sylow p-Subgroups of the Classical Groups Over Finite Fields with Characteristic Prime to p
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