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Modelirovanie i Analiz Informatsionnykh Sistem, 2011, Volume 18, Number 2, Pages 5–17 (Mi mais173)  

On tensor squares of reducible representations of almost simple groups. II

S. V. Polyakov

P. G. Demidov Yaroslavl State University
References:
Abstract: Almost simple $\mathrm{SM}_m$-groups are considered. A group $G$ is called $\mathrm{SM}_m$-group if the tensor square of any irreducible representation is decomposed into the sum of all characters with multiplicities not greater than $m$. It turned out that if $G$ is an almost simple $\mathrm{SM}_t$-group, then $G\cong PGL_2(q)$.
Keywords: SR-groups, SM$_m$-groups almost simple groups automorphisms GAP.
Received: 22.01.2010
Document Type: Article
UDC: 517.51+514.17
Language: Russian
Citation: S. V. Polyakov, “On tensor squares of reducible representations of almost simple groups. II”, Model. Anal. Inform. Sist., 18:2 (2011), 5–17
Citation in format AMSBIB
\Bibitem{Pol11}
\by S.~V.~Polyakov
\paper On tensor squares of reducible representations of almost simple groups.~II
\jour Model. Anal. Inform. Sist.
\yr 2011
\vol 18
\issue 2
\pages 5--17
\mathnet{http://mi.mathnet.ru/mais173}
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