Periodic Groups Saturated with Finite Simple Unitary Groups of Degree 4 over Finite Fields of Odd Characteristic Full article
| Journal |
Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2024, Volume: 65, Number: 5, Pages: 1165-1169 Pages count : 5 DOI: 10.1134/s003744662405015x | ||||||||
| Tags | periodic group, locally finite group, involution, centralizer, saturation, unitary group | ||||||||
| Authors |
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| Affiliations |
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Funding (2)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0002 |
| 2 | Министерство науки и высшего образования РФ | 071-03-2024-008 |
Abstract:
Suppose that M is some nonempty set of finite groups. A group G is saturated with groups from M if each finite subgroup of G lies in a subgroup isomorphic to an element of M.Weprovethat a periodic group with locally finite centralizers of involutions which is saturated with simple unitary groups of degree 4 over finite fields of fixed odd characteristic p is isomorphic to a simple unitary group of degree 4 over some locally finite field of characteristic p.
Cite:
Ma X.J.
, Mao Y.M.
, Lytkina D.V.
, Mazurov V.D.
Periodic Groups Saturated with Finite Simple Unitary Groups of Degree 4 over Finite Fields of Odd Characteristic
Siberian Mathematical Journal. 2024. V.65. N5. P.1165-1169. DOI: 10.1134/s003744662405015x WOS Scopus РИНЦ OpenAlex
Periodic Groups Saturated with Finite Simple Unitary Groups of Degree 4 over Finite Fields of Odd Characteristic
Siberian Mathematical Journal. 2024. V.65. N5. P.1165-1169. DOI: 10.1134/s003744662405015x WOS Scopus РИНЦ OpenAlex
Original:
Ма С.Ц.
, Мао Ю.М.
, Лыткина Д.В.
, Мазуров В.Д.
О периодических группах, насыщенных конечными простыми унитарными группами степени 4 над конечными полями нечетной характеристики
Сибирский математический журнал. 2024. Т.65. №5. С.985-990. DOI: 10.33048/smzh.2024.65.515 РИНЦ
О периодических группах, насыщенных конечными простыми унитарными группами степени 4 над конечными полями нечетной характеристики
Сибирский математический журнал. 2024. Т.65. №5. С.985-990. DOI: 10.33048/smzh.2024.65.515 РИНЦ
Dates:
| Submitted: | Apr 14, 2024 |
| Accepted: | Jun 20, 2024 |
| Published print: | Sep 25, 2024 |
| Published online: | Sep 25, 2024 |
Identifiers:
| Web of science: | WOS:001320442300015 |
| Scopus: | 2-s2.0-85204899663 |
| Elibrary: | 69920891 |
| OpenAlex: | W4402842284 |
Citing:
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