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Periodic Groups Saturated with Finite Simple Symplectic Groups of Dimension 6 over Fields of Odd Characteristics Full article

Journal Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260
Output data Year: 2022, Volume: 63, Number: 6, Pages: 1117-1120 Pages count : 4 DOI: 10.1134/s0037446622060118
Tags periodic group, locally finite group, group of Lie type, group saturated with a set of groups
Authors Lytkina D.V. 1,2,3 , Mazurov V.D. 1,3
Affiliations
1 Sobolev Institute of Mathematics, Novosibirsk, Russia
2 Siberian State University of Telecommunications and Information Sciences, Novosibirsk, Russia
3 Novosibirsk State University, Novosibirsk, Russia

Funding (1)

1 Russian Science Foundation 19-11-00039

Abstract: We prove that a periodic group is locally finite, if its every finite subgroup lies in a subgroup isomorphic to a simple symplectic group of dimension 6 over some field of odd order and the centralizer of every involution of this group is locally finite. Moreover, such group is isomorphic to a simple symplectic group of dimension 6 over a suitable locally finite field of odd characteristic.
Cite: Lytkina D.V. , Mazurov V.D.
Periodic Groups Saturated with Finite Simple Symplectic Groups of Dimension 6 over Fields of Odd Characteristics
Siberian Mathematical Journal. 2022. V.63. N6. P.1117-1120. DOI: 10.1134/s0037446622060118 WOS Scopus РИНЦ OpenAlex
Original: Лыткина Д.В. , Мазуров В.Д.
О периодических группах, насыщенных простыми симплектическими группами размерности 6 над полями нечётных характеристик
Сибирский математический журнал. 2022. Т.63. №6. С.1308–1312. DOI: 10.33048/smzh.2022.63.611 РИНЦ
Dates:
Submitted: Sep 5, 2022
Accepted: Oct 10, 2022
Published print: Dec 8, 2022
Published online: Dec 8, 2022
Identifiers:
Web of science: WOS:000896024900011
Scopus: 2-s2.0-85143601640
Elibrary: 58740223
OpenAlex: W4310888729
Citing:
DB Citing
Scopus 2
Web of science 2
OpenAlex 1
Elibrary 1
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