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Special representations of the Borel and maximal parabolic subgroups of G2(q)
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 G2(q).
Keywords: Borel and parabolic subgroups; rational valued character; quasi-permutation representations.
AMS Subject classification: Primary: 20C15.
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