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This article is cited in 38 scientific papers (total in 38 papers)
On infinite groups with abelian centralizers of involution
V. D. Mazurov Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
We obtain two characterizations of the projective linear group $\mathrm{PGL}_2(P)$ over a locally finite field $P$ of characteristic 2. The first is defined in terms of permutation groups; the second, in terms of the structure of the centralizers of involution. We use one of the characterizations to prove the existence of infinite groups recognizable by the set of their element orders.
Received: 06.10.1998 Revised: 03.03.1999
Citation:
V. D. Mazurov, “On infinite groups with abelian centralizers of involution”, Algebra Logika, 39:1 (2000), 74–86; Algebra and Logic, 39:1 (2000), 42–49
Linking options:
https://www.mathnet.ru/eng/al265 https://www.mathnet.ru/eng/al/v39/i1/p74
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