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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 3, Pages 30–46 (Mi timm836)  
This article is cited in 2 scientific papers (total in 2 papers)

On the conjecture about semiproportional characters in the groups $\mathrm{Sp}_4(q)$

V. A. Belonogovab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Ural Federal University
Full-text PDF (212 kB) Citations (2)
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Abstract: Previously, the author made the following conjecture: if a finite group has two semiproportional irreducible characters $\varphi$ and $\psi$, then $\varphi(1)=\psi(1)$. In the present paper, a new confirmation of the conjecture is obtained. Namely, the conjecture is verified for the symplectic groups $\mathrm{Sp}_4(q)$ and $\mathrm{PSp}_4(q)$.
Keywords: finite symplectic groups, character table, semiproportional characters, small interactions.
Received: 26.04.2012
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2013, Volume 283, Issue 1, Pages 6–23
DOI: https://doi.org/10.1134/S0081543813090022
Bibliographic databases:
Document Type: Article
UDC: 512.54
Language: Russian
Citation: V. A. Belonogov, “On the conjecture about semiproportional characters in the groups $\mathrm{Sp}_4(q)$”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 3, 2012, 30–46; Proc. Steklov Inst. Math. (Suppl.), 283, suppl. 1 (2013), 6–23
Citation in format AMSBIB
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\pages 30--46
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\jour Proc. Steklov Inst. Math. (Suppl.)
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\issue , suppl. 1
\pages 6--23
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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