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Infinite groups with Abelian centralizers of involutions

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Abstract

The article contains two characterizations of projective linear groups PGL2(P) over a locally finite field P of characteristic 2: the first is defined in terms of permutation groups, and the second, in terms of a structure of involution centralizers. One of the two is used to prove the existence of infinite groups which are recognizable by the set of their element orders.

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Authors
  1. V. D. Mazurov
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Additional information

In memory of Viktor A. Gorbunov

Supported by RFFR grant No. 99-01-00550.

Translated fromAlgebra i Logika, Vol. 39, No. 1, pp. 74–86, January–February, 2000.

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Mazurov, V.D. Infinite groups with Abelian centralizers of involutions. Algebr Logic 39, 42–49 (2000). https://doi.org/10.1007/BF02681567

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  • DOI: https://doi.org/10.1007/BF02681567

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