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On the number of Hall \(\pi\)-subgroups in a finite group

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Publication:1061839
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DOI10.1007/BF01197484zbMath0571.20014MaRDI QIDQ1061839

Antonio Vera-López

Publication date: 1986

Published in: Archiv der Mathematik (Search for Journal in Brave)


zbMATH Keywords

Fitting classesSchunck classesinjectors\(\pi\)-solvable groups\(D_{\pi}\)-groups\(L_{\pi }\)-groupsconjugacy classes of maximal \(\pi\)-subgroupsextended centralizersnumbers of Hall \(\pi\)-subgroups


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) Arithmetic and combinatorial problems involving abstract finite groups (20D60)


Related Items (2)

On the number of conjugacy classes in a finite group ⋮ Hall \(\pi\)-subgroups and conjugacy classes



Cites Work

  • Unnamed Item
  • H-Untergruppen in endlichen auflösbaren Gruppen
  • On the number of Sylow subgroups in a finite group
  • Injektoren endlicher auflösbarer Gruppen
  • Endliche Gruppen I


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