Special representations of the group SP(4,q) with minimal degrees |
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Authors: | M.R. Darafsheh M. Ghorbany |
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Affiliation: | (1) Department of Mathematics and Computer Science, Faculty of Science, University of Tehran, Tehran, Iran;(2) Department of Mathematics, Iran University of Science and Technology Branch Behshahr, Emam, Behshahar, Iran |
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Abstract: | Let G be a finite group. Let p(G) denote the minimal degree of a faithful permutation representation ofG and let q(G) and c(G) denote the minimal degree of a faithful representation of G by quasi-permutation matrices over the rational and the complex numbers, respectively. Finally r(G) denotes the minimal degree of a faithful rational valued complex character of G. The purpose of this paper is to calculate p(G), q(G), c(G) and r(G) for the group SP(4,q). This revised version was published online in June 2006 with corrections to the Cover Date. |
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Keywords: | general linear group quasi-permutation |
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