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A characterization of \(A_5\) by same-order type

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Publication:504119
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DOI10.1007/S00605-015-0845-1zbMath1362.20021OpenAlexW2507960944MaRDI QIDQ504119

Xuan Zou, Wujie Shi, R. L. Shen

Publication date: 25 January 2017

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-015-0845-1


zbMATH Keywords

finite groupsperiodic groupelement ordersame-order type


Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Automorphisms of abstract finite groups (20D45) Simple groups: alternating groups and groups of Lie type (20D06)


Related Items (2)

A note on Shen's conjecture on groups with given same-order type ⋮ A characterization of \(A_{5}\) by its same-order type


Uses Software

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Cites Work

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  • On the number of elements of given order in a finite \(p\)-group
  • A new characterization of \(A_5\).
  • Prime graph components of finite groups
  • On \(p\)-groups of finite order
  • On finite groups with given conjugate types. II
  • On finite groups with given conugate types. III
  • On Groups with Given Same-Order Types
  • On Finite Groups with Given Conjugate Types I




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