Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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 изданиях › статья › Рецензирование
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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