Articles

QUASI-PERMUTATION REPRESENTATIONS OF ALTERNATING AND SYMMETRIC GROUPS

  • Houshang Behravesh ,
  • Mohammad Hossein Jafari
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  • Department of Mathematics, University of Urmia, Urmia, Iran

Received date: 2004-06-30

  Revised date: 2005-04-06

  Online published: 2007-04-20

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}.

Cite this article

Houshang Behravesh , Mohammad Hossein Jafari . QUASI-PERMUTATION REPRESENTATIONS OF ALTERNATING AND SYMMETRIC GROUPS[J]. Acta mathematica scientia, Series B, 2007 , 27(2) : 297 -300 . DOI: 10.1016/S0252-9602(07)60029-0

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