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On Periodic Groups with a Narrow Conjugacy Class of Involutions. / Mao, Y. M.; Ma, X. J.; Lytkina, D. V. и др.

в: Siberian Mathematical Journal, Том 66, № 5, 30.09.2025, стр. 1231-1234.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

Harvard

Mao, YM, Ma, XJ, Lytkina, DV & Mazurov, VD 2025, 'On Periodic Groups with a Narrow Conjugacy Class of Involutions', Siberian Mathematical Journal, Том. 66, № 5, стр. 1231-1234. https://doi.org/10.1134/S003744662505012X

APA

Vancouver

Mao YM, Ma XJ, Lytkina DV, Mazurov VD. On Periodic Groups with a Narrow Conjugacy Class of Involutions. Siberian Mathematical Journal. 2025 сент. 30;66(5):1231-1234. doi: 10.1134/S003744662505012X

Author

Mao, Y. M. ; Ma, X. J. ; Lytkina, D. V. и др. / On Periodic Groups with a Narrow Conjugacy Class of Involutions. в: Siberian Mathematical Journal. 2025 ; Том 66, № 5. стр. 1231-1234.

BibTeX

@article{a16983f1936449bfb822099a6a41cf73,
title = "On Periodic Groups with a Narrow Conjugacy Class of Involutions",
abstract = "In a 2000 paper, Mazurov studied periodic groups containing involutions (elements of order 2) whose centralizers are abelian -groups.That work provided a description of such groups under the assumption that they include a noncyclic subgroup of order.In the present paper, we consider the case where the centralizers of involutions of the group are locally cyclic -groups.",
keywords = "512.542, centralizer, involution, locally finite group, periodic group",
author = "Mao, {Y. M.} and Ma, {X. J.} and Lytkina, {D. V.} and Mazurov, {V. D.}",
note = "The work of the first two authors was supported by the National Natural Science Foundation of China (Project 12371021), the work of the third author was supported by the Russian Science Foundation (Project 23–41–10003), and the work of the fourth author was carried out in the framework of the State Task to the Sobolev Institute of Mathematics (Project FWNF–2022–0002). On Periodic Groups with a Narrow Conjugacy Class of Involutions / Y. M. Mao, X. J. Ma, D. V. Lytkina, V. D. Mazurov // Siberian Mathematical Journal. – 2025. – Vol. 66, No. 5. – P. 1231-1234. – DOI 10.1134/S003744662505012X. ",
year = "2025",
month = sep,
day = "30",
doi = "10.1134/S003744662505012X",
language = "English",
volume = "66",
pages = "1231--1234",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "Pleiades Publishing",
number = "5",

}

RIS

TY - JOUR

T1 - On Periodic Groups with a Narrow Conjugacy Class of Involutions

AU - Mao, Y. M.

AU - Ma, X. J.

AU - Lytkina, D. V.

AU - Mazurov, V. D.

N1 - The work of the first two authors was supported by the National Natural Science Foundation of China (Project 12371021), the work of the third author was supported by the Russian Science Foundation (Project 23–41–10003), and the work of the fourth author was carried out in the framework of the State Task to the Sobolev Institute of Mathematics (Project FWNF–2022–0002). On Periodic Groups with a Narrow Conjugacy Class of Involutions / Y. M. Mao, X. J. Ma, D. V. Lytkina, V. D. Mazurov // Siberian Mathematical Journal. – 2025. – Vol. 66, No. 5. – P. 1231-1234. – DOI 10.1134/S003744662505012X.

PY - 2025/9/30

Y1 - 2025/9/30

N2 - In a 2000 paper, Mazurov studied periodic groups containing involutions (elements of order 2) whose centralizers are abelian -groups.That work provided a description of such groups under the assumption that they include a noncyclic subgroup of order.In the present paper, we consider the case where the centralizers of involutions of the group are locally cyclic -groups.

AB - In a 2000 paper, Mazurov studied periodic groups containing involutions (elements of order 2) whose centralizers are abelian -groups.That work provided a description of such groups under the assumption that they include a noncyclic subgroup of order.In the present paper, we consider the case where the centralizers of involutions of the group are locally cyclic -groups.

KW - 512.542

KW - centralizer

KW - involution

KW - locally finite group

KW - periodic group

UR - https://www.mendeley.com/catalogue/5298d97e-dfa6-37fb-8f26-f1ac3b3c600d/

UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=105017685928&origin=inward

UR - https://elibrary.ru/item.asp?id=82944335

U2 - 10.1134/S003744662505012X

DO - 10.1134/S003744662505012X

M3 - Article

VL - 66

SP - 1231

EP - 1234

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 5

ER -

ID: 70629314