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. (1377). QUASI-PERMUTATION REPRESENTATIONS OF SUZtTKI GROUP. , 10(1), -.
. "QUASI-PERMUTATION REPRESENTATIONS OF SUZtTKI GROUP". , 10, 1, 1377, -.
. (1377). 'QUASI-PERMUTATION REPRESENTATIONS OF SUZtTKI GROUP', , 10(1), pp. -.
. QUASI-PERMUTATION REPRESENTATIONS OF SUZtTKI GROUP. , 1377; 10(1): -.

QUASI-PERMUTATION REPRESENTATIONS OF SUZtTKI GROUP

Journal of Sciences, Islamic Republic of Iran
مقاله 10، دوره 10، شماره 1، خرداد 1999    اصل مقاله (263.34 K)
چکیده
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 quasipermutation matrix. For a given finite group G, let p(G) denote the minimal degree of a faithful permutation representation of G (or of a faithful representation of G by permutation matrices), let q(G) denote the minimal degree of a faithful representation of G by quasi-permuation matrices over the rational field Q, and let c(G) be the minimal degree of a faithful representation of G by complex quasi-permuatation matrices. Let r(G) denote the minimal degree of a faithful rational valued character of G. In this paper we will calculate c(G), q(G), p(G) and r(G) where G= Sz(q) is the Suzuki group . Also we will show that lim .
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