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Paper Information

Journal:   AMIRKABIR   FALL 2007- WINTER 2008 , Volume 18 , Number 67-E; Page(s) 45 To 48.
 
Paper: 

QUASI-PERMUTATION REPRESENTATIONS FOR THE GROUP GL (2,Q) WHEN EXTENDED BY A CERTAIN GROUP OF ORDER TWO

 
 
Author(s):  GHORBANI M.*
 
* DEPARTMENT OF MATHEMATICS, IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY, NARMAK, TEHRAN, IRAN
 
Abstract: 

A square matrix over the complex field with non-negative integral trace is called a quasi-permutation matrix. For a given finite group G, let c (G) be the minimal degree of a faithful representation of G by complex quasi-permutation matrices. Let r (G) denotes the minimal degree of a faithful rational valued complex character of G. In this paper, we will calculate c (G) and r (G) for the group GL (2,q) when extended by a certain group of order two.

 
Keyword(s): GENERAL LINEAR GROUP, QUASI-PERMUTATION REPRESENTATION, FAITHFUL REPRESENTATION
 
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