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This article is cited in 7 scientific papers (total in 7 papers)
Mathematical logic, algebra and number theory
About Shunkov groups, saturated with linear and unitary groups of dimension 3
A. A. Shlepkin Siberian Federal University, pr. Svobodny, 79, 660041, Krasnoyarsk, Russia
Abstract:
We prove that a Shunkov group saturated with simple linear and unitary groups of dimension $3$ over fields of odd orders has a periodic part isomorphic to $U_3(Q),$ or $L_3(Q)$ for some locally finite field $Q $ of odd characteristic.
Keywords:
Shunkov group, groups, saturated with the set of groups.
Received January 30, 2015, published May 12, 2016
Citation:
A. A. Shlepkin, “About Shunkov groups, saturated with linear and unitary groups of dimension 3”, Sib. Èlektron. Mat. Izv., 13 (2016), 341–351
Linking options:
https://www.mathnet.ru/eng/semr678 https://www.mathnet.ru/eng/semr/v13/p341
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