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This article is cited in 5 scientific papers (total in 5 papers)
Mathematical logic, algebra and number theory
2-rank two periodic groups saturated with finite simple groups
D. V. Lytkinaa, A. I. Sozutovb, A. A. Shlepkinb a Siberian University telecommunications and informatics,
ul. Kirova, 86,
Novosibirsk, 630102 Russia
b Siberian Federal University,
pr. Svobodny, 79,
660074, Krasnoyarsk, Russia
Abstract:
It is proved that a periodic group of 2-rank two, saturated with finite simple groups, is locally finite and is isomorphic to one of the groups $ L_2 (Q), A_7, L_3 (P), U_3 (R), M_ {11}, U_3 (4) $, where $Q,P,R$ are suitable locally finite fields of odd characteristics and $|Q|> 3$.
Keywords:
periodic group, saturation, simple groups.
Received December 28, 2017, published July 27, 2018
Citation:
D. V. Lytkina, A. I. Sozutov, A. A. Shlepkin, “2-rank two periodic groups saturated with finite simple groups”, Sib. Èlektron. Mat. Izv., 15 (2018), 786–796
Linking options:
https://www.mathnet.ru/eng/semr952 https://www.mathnet.ru/eng/semr/v15/p786
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