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 |
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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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