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