数学物理学报(英文版)

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QUASI-PERMUTATION REPRESENTATIONS OF ALTERNATING AND SYMMETRIC GROUPS

Houshang Behravesh; Mohammad Hossein Jafari   

  1. Department of Mathematics, University of Urmia, Urmia, Iran
  • 收稿日期:2004-06-30 修回日期:2005-04-06 出版日期:2007-04-20 发布日期:2007-04-20
  • 通讯作者: Houshang Behravesh

QUASI-PERMUTATION REPRESENTATIONS OF ALTERNATING AND SYMMETRIC GROUPS

Houshang Behravesh; Mohammad Hossein Jafari   

  1. Department of Mathematics, University of Urmia, Urmia, Iran
  • Received:2004-06-30 Revised:2005-04-06 Online:2007-04-20 Published:2007-04-20
  • Contact: Houshang Behravesh

摘要:

The quantities c(G), q(G) and p(G) for finite groups were defined by H. Behravesh. In this article, these quantities for the alternating group
A{n} and the symmetric group S{n} are calculated. It is shown that
[c(G)=q(G)=p(G)=n,] when G= A{n} or S{n}.

关键词: Quasi-permutation representations, alternating groups, symmetric groups, character theory

Abstract:

The quantities c(G), q(G) and p(G) for finite groups were defined by H. Behravesh. In this article, these quantities for the alternating group
A{n} and the symmetric group S{n} are calculated. It is shown that
[c(G)=q(G)=p(G)=n,] when G= A{n} or S{n}.

Key words: Quasi-permutation representations, alternating groups, symmetric groups, character theory

中图分类号: 

  • 20C15