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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 3, Pages 30–46
(Mi timm836)
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This article is cited in 2 scientific papers (total in 2 papers)
On the conjecture about semiproportional characters in the groups Sp4(q)
V. A. Belonogovab a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Ural Federal University
Abstract:
Previously, the author made the following conjecture: if a finite group has two semiproportional irreducible characters φ and ψ, then φ(1)=ψ(1). In the present paper, a new confirmation of the conjecture is obtained. Namely, the conjecture is verified for the symplectic groups Sp4(q) and PSp4(q).
Keywords:
finite symplectic groups, character table, semiproportional characters, small interactions.
Received: 26.04.2012
Citation:
V. A. Belonogov, “On the conjecture about semiproportional characters in the groups Sp4(q)”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 3, 2012, 30–46; Proc. Steklov Inst. Math. (Suppl.), 283, suppl. 1 (2013), 6–23
Linking options:
https://www.mathnet.ru/eng/timm836 https://www.mathnet.ru/eng/timm/v18/i3/p30
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Abstract page: | 222 | Full-text PDF : | 73 | References: | 60 | First page: | 1 |
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