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Solvability of any group with Hall supplements to normalizers of Sylow subgroups.

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Publication:1033914
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DOI10.1134/S0001434609010246zbMath1188.20019OpenAlexW1991049765MaRDI QIDQ1033914

T. V. Borodich, Victor S. Monakhov

Publication date: 10 November 2009

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434609010246

zbMATH Keywords

finite groupssolvabilitySylow subgroupsproducts of subgroupssolvable groupsHall supplements


Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Products of subgroups of abstract finite groups (20D40)


Related Items

On the \(SS\)-quasinormality of the maximal subgroups of a Sylow subgroup in its normalizer.



Cites Work

  • Factorisations of sporadic simple groups.
  • Factorizations of the simple groups \(PSL(3,q)\) and \(PSU(3,q^ 2)\)
  • On the product of two finite solvable groups
  • On finite products of soluble groups
  • Finite groups with given indices of normalizers of Sylow subgroups
  • Sylow numbers of finite groups
  • On groups which are the product of two solvable subgroups
  • On Factorized Groups
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  • Unnamed Item
  • Unnamed Item
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