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A NEW CHARACTERIZATION OF PGL(2, p)

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Publication:2853976
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DOI10.1142/S0219498813500400zbMath1278.20013MaRDI QIDQ2853976

Alireza Khalili Asboei

Publication date: 17 October 2013

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)


zbMATH Keywords

finite simple groupsSylow subgroupssets of element orderssets of numbers of elements of equal orders


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)


Related Items (3)

Some results on the main supergraph of finite groups ⋮ A new characterization of Ree group $mathbf{{}^2G_2(q)}$ by the order of group and the number of elements with the same order ⋮ NSE characterization of some alternating groups




Cites Work

  • A new characterization for some linear groups.
  • A new characterization of \(A_5\).
  • Characterization of simple \(K_4\)-groups.
  • A CHARACTERIZATION OF SPORADIC SIMPLE GROUPS BY NSE AND ORDER
  • CHARACTERIZATION OF THE PROJECTIVE GENERAL LINEAR GROUPS PGL(2,q) BY THEIR ORDERS AND DEGREE PATTERNS
  • On a problem of E. Artin
  • Unnamed Item




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