REAL

Special representations of some simple groups with minimal degrees

Maryam, Ghorbany (2008) Special representations of some simple groups with minimal degrees. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 24 (3). pp. 287-296. ISSN 0866-0174

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Abstract

If F is a subfield of C, then a square matrix over F with non-negative integral trace is called a quasi-permutation matrix over F. For a finite group G, let q(G) and c(G) denote the minimal degree of a faithful representation of G by quasi-permutation matrices over the rational and the complex numbers, respectively. Finally r(G) denotes the minimal degree of a faithful rational valued complex character of $G$. In this paper q(G), c(G) and r(G) are calculated for Suzuki group and untwisted group of type B_{2} with parameter 2^{2n+1}.

Item Type: Article
Uncontrolled Keywords: Character table, Lie groups, Quasi-permutation representation ,Rational valued character, Suzuki group
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: Zsolt Baráth
Date Deposited: 01 Feb 2024 12:09
Last Modified: 01 Feb 2024 12:09
URI: http://real.mtak.hu/id/eprint/187001

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