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A new characterization of \(L_2(r)\) by their Sylow numbers.

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Publication:746961
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DOI10.1007/S10114-015-3132-0zbMath1327.20011OpenAlexW2395121138MaRDI QIDQ746961

Alireza Khalili Asboei

Publication date: 22 October 2015

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

Full work available at URL: https://doi.org/10.1007/s10114-015-3132-0


zbMATH Keywords

finite simple groupsSylow numbersfinite centerless groupsnumbers 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) Simple groups: alternating groups and groups of Lie type (20D06)





Cites Work

  • Sylow numbers of finite groups
  • On the group with the same orders of Sylow normalizers as the finite projective special unitary group.
  • A characterization ofL n (q) by the normalizers' orders of their sylow subgroups
  • On a problem of E. Artin
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