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Strong reality of finite simple groups

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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.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    E. P. Vdovin

  2. Novosibirsk State University, Novosibirsk, Russia

    A. A. Gal’t

Authors
  1. E. P. Vdovin
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  2. A. A. Gal’t
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Correspondence to E. P. Vdovin.

Additional information

Original Russian Text Copyright © 2010 Vdovin E. P. and Gal’t A. A.

The authors were supported by the Russian Foundation for Basic Research (Grants 08-01-00322, 10-01-00391, and 10-01-90007), the Russian Federal Agency for Education (Grant 2.1.1.419), and the Federal Target Program (State Contract 02.740.11.0429). The first author gratefully acknowledges the support from the Deligne 2004 Balzan Prize in Mathematics and the Lavrentev Young Scientists Competition of the Russian Academy of Sciences (Resolution No. 43 of 04.02.2010).

Novosibirsk. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 51, No. 4, pp. 769–777, July–August, 2010.

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Vdovin, E.P., Gal’t, A.A. Strong reality of finite simple groups. Sib Math J 51, 610–615 (2010). https://doi.org/10.1007/s11202-010-0062-z

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