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Quasi-permutation representations ofSL(2,q) and PSL(2,q)

Published online by Cambridge University Press:  01 October 1999

Houshang Behravesh
Houshang Behravesh
Affiliation:
Department of Mathematics, University of Urmia, Urmia, Iran
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Abstract

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By a quasi-permutation matrix we mean a square matrix over the complex field [Copf ] with non-negative integral trace. Thus every permutation matrix over [Copf ] is a quasi-permutation matrix. For a given finite group G, let p(G) denote the minimal degree of a faithful permutation representation of G (or a faithful representation of G by permutation matrices), let q(G) denote the minimal degree of a faithful representation of G by quasi-permutation matrices over the rational field ℚ, and let c(G) be the minimal degree of a faithful representation of G by complex quasi-permutation matrices. See [1].

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 41 , Issue 3 , October 1999 , pp. 393 - 408
Copyright
1999 Glasgow Mathematical Journal Trust