p. 223 - 233 Special representations of the Borel and maximal parabolic subgroups of
G_{2}(q)M. Ghorbany Received: April 6, 2008;
Revised: December 8, 2008;
Accepted: December 15, 2008
Abstract.
A square matrix over the complex field with a non-negative integral
trace is called a quasi-permutation matrix. For a finite group
G, 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 and maximal parabolic
subgroups of G_{2}(q).
Keywords:
Borel and parabolic subgroups; rational valued character; quasi-permutation representations.
AMS Subject classification:
Primary: 20C15.
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