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Periodic Groups Saturated with Finite Simple Unitary Groups of Degree 4 over Finite Fields of Odd Characteristic. / Ma, X. J.; Mao, Y. M.; Lytkina, D. V. и др.

в: Siberian Mathematical Journal, Том 65, № 5, 15, 01.09.2024, стр. 1165-1169.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

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Ma XJ, Mao YM, Lytkina DV, Mazurov VD. Periodic Groups Saturated with Finite Simple Unitary Groups of Degree 4 over Finite Fields of Odd Characteristic. Siberian Mathematical Journal. 2024 сент. 1;65(5):1165-1169. 15. doi: 10.1134/S003744662405015X

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Ma, X. J. ; Mao, Y. M. ; Lytkina, D. V. и др. / Periodic Groups Saturated with Finite Simple Unitary Groups of Degree 4 over Finite Fields of Odd Characteristic. в: Siberian Mathematical Journal. 2024 ; Том 65, № 5. стр. 1165-1169.

BibTeX

@article{d0c83808186f42caaf0fd2a71ba82f47,
title = "Periodic Groups Saturated with Finite Simple Unitary Groups of Degree 4 over Finite Fields of Odd Characteristic",
abstract = "Suppose that is some nonempty set of finite groups. A group issaturated with groups from if each finite subgroup of liesin a subgroup isomorphic to an element of.We prove that a periodic group with locally finite centralizers of involutionswhich is saturated with simple unitary groups of degree 4 over finite fields of fixed odd characteristic is isomorphic to a simple unitary group of degree 4 over some locally finite field of characteristic.",
author = "Ma, {X. J.} and Mao, {Y. M.} and Lytkina, {D. V.} and Mazurov, {V. D.}",
note = "The work of first two authors was supported by the National Natural Science Foundation of China (Grant no. 12371021); the work of the third author was carried out within the framework of the State Task 071–03–2024–008 of 19.01.2024; the work of the fourth author was supported by the RAS Fundamental Research Program (Project FWNF–2022–0002).",
year = "2024",
month = sep,
day = "1",
doi = "10.1134/S003744662405015X",
language = "English",
volume = "65",
pages = "1165--1169",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "Pleiades Publishing",
number = "5",

}

RIS

TY - JOUR

T1 - Periodic Groups Saturated with Finite Simple Unitary Groups of Degree 4 over Finite Fields of Odd Characteristic

AU - Ma, X. J.

AU - Mao, Y. M.

AU - Lytkina, D. V.

AU - Mazurov, V. D.

N1 - The work of first two authors was supported by the National Natural Science Foundation of China (Grant no. 12371021); the work of the third author was carried out within the framework of the State Task 071–03–2024–008 of 19.01.2024; the work of the fourth author was supported by the RAS Fundamental Research Program (Project FWNF–2022–0002).

PY - 2024/9/1

Y1 - 2024/9/1

N2 - Suppose that is some nonempty set of finite groups. A group issaturated with groups from if each finite subgroup of liesin a subgroup isomorphic to an element of.We prove that a periodic group with locally finite centralizers of involutionswhich is saturated with simple unitary groups of degree 4 over finite fields of fixed odd characteristic is isomorphic to a simple unitary group of degree 4 over some locally finite field of characteristic.

AB - Suppose that is some nonempty set of finite groups. A group issaturated with groups from if each finite subgroup of liesin a subgroup isomorphic to an element of.We prove that a periodic group with locally finite centralizers of involutionswhich is saturated with simple unitary groups of degree 4 over finite fields of fixed odd characteristic is isomorphic to a simple unitary group of degree 4 over some locally finite field of characteristic.

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85204899663&origin=inward&txGid=37a746e0462031bbf0fa645f0cb27082

UR - https://www.elibrary.ru/item.asp?id=69920891

U2 - 10.1134/S003744662405015X

DO - 10.1134/S003744662405015X

M3 - Article

VL - 65

SP - 1165

EP - 1169

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 5

M1 - 15

ER -

ID: 60797367