Special representation of Suzuki groups with minimal degrees

If F is a subfield of C , then a square matrix over F with non-negative integral trace is called a quasi-permutation matrix over F . For a finite group G , let p(G) denote the minimal degree of a faithful permutation representation of G and let q(G) and c(G) denote the minimal degree of a faithful representation of G by quasi-permutation matrices over the rationals and the complex numbers respectively . Finally r(G) denotes the minimal degree of a faithful rational valued complex character of G . In this paper we will calculate p(G), q(G), c(G) and r(G) for the finite Suzuki groups.

Keywords:

Character table , Quasi-permutation representation , Suzuki group , Rational value character