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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 4, Pages 769–777
(Mi smj2123)
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This article is cited in 13 scientific papers (total in 13 papers)
Strong reality of finite simple groups
E. P. Vdovina, A. A. Gal'tb a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Abstract:
The classification of finite simple strongly real groups is complete. It is easy to see that strong reality for every nonabelian finite simple group is equivalent to the fact that each element can be written as a product of two involutions. We thus obtain a solution to Problem 14.82 of the Kourovka Notebook from the classification of finite simple strongly real groups.
Keywords:
finite group of Lie type, strongly real element, conjugacy class, involution.
Received: 25.05.2010
Citation:
E. P. Vdovin, A. A. Gal't, “Strong reality of finite simple groups”, Sibirsk. Mat. Zh., 51:4 (2010), 769–777; Siberian Math. J., 51:4 (2010), 610–615
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https://www.mathnet.ru/eng/smj2123 https://www.mathnet.ru/eng/smj/v51/i4/p769
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Abstract page: | 422 | Full-text PDF : | 100 | References: | 73 | First page: | 1 |
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