Abelian Sylow subgroups in a finite group.

DOI10.1016/j.jalgebra.2013.04.007zbMath1305.20023OpenAlexW4206459715MaRDI QIDQ401755

Gabriel Navarro, Pham Hũ'u Tiêp

Publication date: 27 August 2014

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2013.04.007

zbMATH Keywords

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

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) 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)

Related Items

Characters and Sylow 2-subgroups of maximal class revisited, On the p -regular G-conjugacy classes with sizes 1 or minimal, On a finite group with restriction on set of conjugacy classes size, On characterization of a finite group with non-simple socle by the set of conjugacy class sizes, On \(p\)-index extremal groups, Groups in which the centralizer of any non-central element is maximal, Abelian Sylow subgroups in a finite group. II., Equivariant splendid Rickard equivalences, On the normal subgroup with minimal \(G\)-conjugacy class sizes, Finite groups with two conjugacy classes ofp-elements and related questions forp-blocks, Nilpotent and abelian Hall subgroups in finite groups, Blocks with transitive fusion systems, On the centralizers of the \(p\)-regular elements in a finite group, Products of groups and class sizes of \(\pi \)-elements, On Thompson’s conjecture for finite simple groups, On almost \(p\)-rational characters of \(p^{\prime}\)-degree

Cites Work

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• Characters of relative \(p^\prime\)-degree over normal subgroups
• Group theoretic and group ring theoretic determination of certain Sylow and Hall subgroups and the resolution of a question of R. Brauer
• The local structure of finite groups of characteristic 2 type
• Shorter Notes: Character Tables Determine Abelian Sylow 2-Subgroups
• Subgroups of Maximal Rank in Finite Exceptional Groups of Lie Type