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On groups with given properties of the finite subgroups generated by couples of 2-elements

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Abstract

Suppose that every finite subgroup, generated by a couple of 2-elements of a periodic group, is either nilpotent of class 2 or of exponent 4. We prove that the group possesses the normal Sylow 2-subgroup that is either nilpotent of class 2 or of exponent 4.

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References

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Authors and Affiliations

  1. Siberian State University of Telecommunications and Information Sciences, Novosibirsk State University, Novosibirsk, Russia

    D. V. Lytkina

  2. Sobolev Institute of Mathematics and Novosibirsk State University, Novosibirsk, Russia

    V. D. Mazurov

Authors
  1. D. V. Lytkina
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  2. V. D. Mazurov
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Corresponding author

Correspondence to D. V. Lytkina.

Additional information

Original Russian Text Copyright © 2013 Lytkina D.V. and Mazurov V.D.

The authors were supported by the Russian Foundation for Basic Research (Grants 11-01-00456, 11-01-91158, and 12-01-90006), the Federal Target Program (Contract 14.740.11.0346), and the Integration Project of the Siberian Division of the Russian Academy of Sciences for 2012-2014 (No. 14).

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 54, No. 1, pp. 127–130, January–February, 2013.

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Lytkina, D.V., Mazurov, V.D. On groups with given properties of the finite subgroups generated by couples of 2-elements. Sib Math J 54, 96–98 (2013). https://doi.org/10.1134/S0037446613010126

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  • DOI: https://doi.org/10.1134/S0037446613010126

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