On Periodic Groups with a Narrow Conjugacy Class of Involutions Full article
| Journal |
Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2025, Volume: 66, Number: 5, Pages: 1231–1234 Pages count : 4 DOI: 10.1134/S003744662505012X | ||||||
| Tags | periodic group, involution, centralizer, locally finite group | ||||||
| Authors |
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| Affiliations |
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Funding (2)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0002 |
| 2 | Russian Science Foundation | 23-41-10003 |
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.
Cite:
Mao Y.M.
, Ma X.J.
, Lytkina D.V.
, Mazurov V.D.
On Periodic Groups with a Narrow Conjugacy Class of Involutions
Siberian Mathematical Journal. 2025. V.66. N5. P.1231–1234. DOI: 10.1134/S003744662505012X РИНЦ
On Periodic Groups with a Narrow Conjugacy Class of Involutions
Siberian Mathematical Journal. 2025. V.66. N5. P.1231–1234. DOI: 10.1134/S003744662505012X РИНЦ
Original:
Мао Ю.М.
, Ма С.Ц.
, Лыткина Д.В.
, Мазуров В.Д.
О периодических группах с узким классом сопряженных инволюций
Сибирский математический журнал. 2025. Т.66. №5. С.924-928. DOI: 10.33048/smzh.2025.66.512
О периодических группах с узким классом сопряженных инволюций
Сибирский математический журнал. 2025. Т.66. №5. С.924-928. DOI: 10.33048/smzh.2025.66.512
Dates:
| Submitted: | Jun 9, 2025 |
| Accepted: | Jun 12, 2025 |
| Published print: | Sep 30, 2025 |
| Published online: | Sep 30, 2025 |
Identifiers:
| Elibrary: | 82944335 |
Citing:
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