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

Volume 3, Issue 2, pp 165--175 Publication Date: August 30, 2011
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### 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 $SP(4,2^f)$ .

### Keywords

• General linear group
• Quasi-permutation.

•  20C15
•  20C33
•  20G05
•  20G40

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