Number of Sylow subgroups and \(p\)-nilpotence of finite groups

DOI10.1006/jabr.1997.7268zbMath0932.20016OpenAlexW1965602179MaRDI QIDQ1268089

Naoki Chigira

Publication date: 9 March 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7268

zbMATH Keywords

finite groups\(p\)-nilpotenceSylow theoremsnormal \(p\)-complementsnumbers of Sylow subgroups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite nilpotent groups, (p)-groups (20D15)

Related Items

Arithmetical conditions on invariant Sylow numbers, Finite groups in which Sylow normalizers admit supplements., Groups with two Sylow numbers are the product of two nilpotent Hall subgroups., Groups of operators that fix a Sylow subgroup, A solvability criterion for finite groups related to the number of Sylow subgroups, Unnamed Item, Finite groups with biprimary Hall subgroups., Finite groups with the set of the number of subgroups of possible order containing exactly two elements., Indices of elements and normal structure of finite groups., Nonabelian Sylow subgroups of finite groups of even order

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