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The local finiteness of some groups generated by a conjugacy class of order 3 elements

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Abstract

We prove local finiteness for the groups generated by a conjugacy class of order 3 elements whose every pair generates a subgroup that is isomorphic to Z 3, A 4, A 5, SL 2(3), or SL 2(5).

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Authors and Affiliations

  1. Novosibirsk State University, Novosibirsk, Russia

    A. A. Maksimenko & A. S. Mamontov

Authors
  1. A. A. Maksimenko
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  2. A. S. Mamontov
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Original Russian Text Copyright © 2007 Maksimenko A. A. and Mamontov A. S.

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 48, No. 3, pp. 631–644, May–June, 2007.

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Maksimenko, A.A., Mamontov, A.S. The local finiteness of some groups generated by a conjugacy class of order 3 elements. Sib Math J 48, 508–518 (2007). https://doi.org/10.1007/s11202-007-0053-x

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  • DOI: https://doi.org/10.1007/s11202-007-0053-x

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