چكيده فارسي :
If G is a finite linear group of degree n , that is , a finite group of
automorphisms of an n-dimensional complex vector space , or equivalently ,
a finite group of non-singular matrices of order n with complex coefficients
, we shall say that G is a quasi-permutation group if the trace of every
element of G is a non-negative rational integer.
By a quasi-permutation matrix we mean a square matrix over the complex
field C with non-negative integral trace.Thus every permutation matrix over
C is a quasi-permutation matrix.For a given finite group G , let c(G) denotes
the minimal degree of a faithful representation of G by quasi-permutation
matrices over the complex numbers and let r(G) denote the minimal degree
of a faithful rational valued complex character of G. The purpose of this
paper is to calculate above quantities for finite simple triality groups .
