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On the \(p\)-local rank of finite groups.

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Publication:1566010
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DOI10.1007/S10114-002-0221-7zbMath1035.20017OpenAlexW2033108403MaRDI QIDQ1566010

Ji Ping Zhang, Bao-Shan Wang

Publication date: 16 February 2004

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-002-0221-7


zbMATH Keywords

Sylow subgroupsfinite \(p\)-solvable groups\(p\)-lengths\(p\)-local ranks


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) Series and lattices of subgroups (20D30)


Related Items (4)

Alperin weight conjecture and related developments ⋮ The \(p\)-local ranks of finite simple groups with Abelian Sylow \(p\)-subgroups. ⋮ COMPUTING LOCAL RANKS IN SPORADIC GROUPS ⋮ Special blocks of finite groups.




Cites Work

  • Unnamed Item
  • On the p-solvability of the finite groups with a T.I. Sylow p-subgroup
  • Signalizer functors, proper 2-generated cores, and nonconnected groups
  • Local Structure, Vertices and Alperin's Conjecture
  • Endliche Gruppen I




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