POS-groups with some cyclic Sylow subgroups

Document Type : Research Paper

Authors

1 Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei Province, 445000, P. R. China

2 LMAM & School of Mathematical Sciences, Peking University, Beijing, 100871, P. R. China

Abstract

A finite group G is said to be a POS-group if for each x in G the cardinality of
the set {y in G | o(y) = o(x)} is a divisor of the order of G. In this paper we study
the structure of POS-groups with some cyclic Sylow subgroups.

Keywords

Main Subjects

Bulletin of the Iranian Mathematical Society
Volume 39, Issue 5 - Serial Number 5
October 2013
Pages 941-957

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History

  • Receive Date: 13 April 2012
  • Revise Date: 21 August 2012
  • Accept Date: 21 August 2012

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