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Periodic Groups Saturated with the Groups L 2(p n)

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Abstract

Given an indexing set I and a finite field K α for each α ∈ I, let ℜ = {L 2(K α) | α ∈ I} and \(\mathfrak{N} = \{ SL_2 (K_\alpha )|\alpha \in I\}\). We prove that each periodic group G saturated with groups in \(\Re (\mathfrak{N})\) is isomorphic to L 2(P) (respectively SL 2(P)) for a suitable locally finite field P.

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Authors and Affiliations

  1. Krasnoyarsk Agricultural State University, Krasnoyarsk, Russia

    A. G. Rubashkin & K. A. Filippov

Authors
  1. A. G. Rubashkin
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  2. K. A. Filippov
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Original Russian Text Copyright © 2005 Rubashkin A. G. and Filippov K. A.

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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 46, No. 6, pp. 1388–1392, November–December, 2005.

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Rubashkin, A.G., Filippov, K.A. Periodic Groups Saturated with the Groups L 2(p n). Sib Math J 46, 1119–1122 (2005). https://doi.org/10.1007/s11202-005-0106-y

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  • DOI: https://doi.org/10.1007/s11202-005-0106-y

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