Quasi-Permutation Representations for the Borel and Maximal Parabolic Subgroups of \(Sp(4,2^n)\)


Authors

M. Ghorbany - Department of Mathematics, Iran University of Science and Technology, Emam, Behshahr, Mazandaran, Iran


Abstract

A square matrix over the complex field with non-negative integral trace is called a quasi-permutation matrix.Thus every permutation matrix over C is a quasi-permutation matrix . The minimal degree of a faithful representation of G by quasi-permutation matrices over the complex numbers is denoted by c(G), and r(G) denotes the minimal degree of a faithful rational valued complex character of G . In this paper c(G) and r(G) are calculated for the Borel or maximal parabolic subgroups of \( SP(4,2^f)\) .


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