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Imbedding of periodic groups in simple periodic groups

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Abstract

It is proved that each periodic group is isomorphic to a subgroup of some simple periodic group.

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Literature cited

  1. V. M. Kopytov, V. D. Mazurov, N. S. Romanovskii, et al. (eds.), The Kourovka Notebook: Unsolved Problems in Group Theory [in Russian], 11th edn., Sib. Otd. Inst. Mat., Akad. Nauk SSSR, Novosibirsk (1990).

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  2. A. Yu. Ol'shanskii, “The imbedding of countable periodic groups in simple 2-generated periodic groups,” Ukr. Mat. Zh.,43, No. 7, 8, 980–986 (1991).

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  3. A. Yu. Ol'shanskii, Geometry of Defining Relations in Groups [in Russian], Nauka, Moscow (1989).

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Authors and Affiliations

  1. Moscow University, USSR

    A. Yu. Ol'shanskii

Authors
  1. A. Yu. Ol'shanskii
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 6, pp. 845–847, June, 1992.

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Ol'shanskii, A.Y. Imbedding of periodic groups in simple periodic groups. Ukr Math J 44, 761–763 (1992). https://doi.org/10.1007/BF01056962

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  • DOI: https://doi.org/10.1007/BF01056962

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