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Modelirovanie i Analiz Informatsionnykh Sistem, 2011, Volume 18, Number 2, Pages 5–17
(Mi mais173)
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On tensor squares of reducible representations of almost simple groups. II
S. V. Polyakov P. G. Demidov Yaroslavl State University
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
Citation:
S. V. Polyakov, “On tensor squares of reducible representations of almost simple groups. II”, Model. Anal. Inform. Sist., 18:2 (2011), 5–17
Linking options:
https://www.mathnet.ru/eng/mais173 https://www.mathnet.ru/eng/mais/v18/i2/p5
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Abstract page: | 219 | Full-text PDF : | 89 | References: | 54 |
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