Nilpotent and abelian Hall subgroups in finite groups

DOI10.1090/tran/6381zbMath1341.20017arXiv1310.8413OpenAlexW1789763511MaRDI QIDQ2787978

María José Felipe, Gabriel Navarro, Gunter Malle, Lucia Sanus, Alexander Moretó, Pham Hũ'u Tiêp, Antonio Beltrán Felip, Ronald M. Solomon

Publication date: 7 March 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.8413

zbMATH Keywords

finite groupsfinite simple groupscharacter tablesAbelian Sylow subgroupsconjugacy class sizesAbelian Hall subgroupsnilpotent Hall subgroupscommuting Sylow subgroups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Ordinary representations and characters (20C15) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite simple groups and their classification (20D05) Products of subgroups of abstract finite groups (20D40)

Related Items

A criterion for the existence of nilpotent hall π-subgroups, Trivial intersection of blocks and nilpotent subgroups, On a finite group with restriction on set of conjugacy classes size, Conjugacy classes of \(\pi \)-elements and nilpotent/abelian Hall \(\pi \)-subgroups, Principal blocks for different primes. II, On characterization of a finite group with non-simple socle by the set of conjugacy class sizes, Brauer's height zero conjecture for two primes, On zeros of irreducible characters lying in a normal subgroup, On the heritability of the Sylow -theorem by subgroups, Products of groups and class sizes of \(\pi \)-elements, Finite groups with odd Sylow normalizers, Sylow subgroups, exponents, and character values, On Thompson’s conjecture for finite simple groups

Uses Software

• GAP

Cites Work

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• Zum Satz von Sylow
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