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M p -groups not containing groups of quaternions

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Abstract

This paper continues the study of the class of Mp-groups introduced by V. P. Shunkov. We obtain a criterion of nonsimplicity of an infinite group which contains anMp-group and contains no group of quaternions. We also obtain a criterion for an infinite group to be an Mp-group.

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Authors and Affiliations

  1. “VTB24 Lizing” Joint Stock Ccompany, Daev per., 20, Moscow, 107045, Russia

    S. N. Kozulin

  2. Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences, Akademgorodok 50/44, Krasnoyarsk, 660036, Russia

    V. I. Senashov

  3. Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences, Akademgorodok 50/44, Krasnoyarsk, 660036, Russia

    V. P. Shunkov

Authors
  1. S. N. Kozulin
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  2. V. I. Senashov
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  3. V. P. Shunkov
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Corresponding author

Correspondence to S. N. Kozulin.

Additional information

Original Russian Text © S.N. Kozulin, V.I. Senashov, and V.P. Shunkov, 2014, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, No. 2, pp. 17–29.

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Kozulin, S.N., Senashov, V.I. & Shunkov, V.P. M p -groups not containing groups of quaternions. Russ Math. 58, 13–23 (2014). https://doi.org/10.3103/S1066369X14020030

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  • DOI: https://doi.org/10.3103/S1066369X14020030

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