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The Baer–Suzuki theorem for groups of 3-exponent 1 Full article

Journal Algebra and Logic
ISSN: 0002-5232 , E-ISSN: 1573-8302
Output data Year: 2023, Volume: 62, Number: 3, Pages: 266-271 Pages count : 6 DOI: 10.1007/s10469-024-09744-3
Tags Baer–Suzuki theorem, group of period 12
Authors Tang J. 1 , Yang N. 2 , Mamontov A.S. 3
Affiliations
1 Department of Fundamental Courses, Wuxi Institute of Technology, Wuxi 214122, P.R. China
2 School of Science, Jiangjan University, Wuxi 214122, P.R. China
3 Sobolev Institute of Mathematics, Novosibirsk

Funding (1)

1 Russian Science Foundation 23-41-10003

Abstract: We prove a theorem that generalizes Lemma 4 in the paper of A. S. Mamontov [Sib. Math. J., 54, No. 1, 114-118 (2013)] concerning the validity of the Baer–Suzuki theorem in groups of period 12. The results of the present work can be used in studying groups with a given set of element orders, also called a spectrum
Cite: Tang J. , Yang N. , Mamontov A.S.
The Baer–Suzuki theorem for groups of 3-exponent 1
Algebra and Logic. 2023. V.62. N3. P.266-271. DOI: 10.1007/s10469-024-09744-3 WOS Scopus РИНЦ OpenAlex
Original: Цзюпин Т. , Ян Н. , Мамонтов А.С.
Теорема Бэра-Сузуки для групп 3-периода 1
Алгебра и логика. 2023. Т.62. №3. С.400-407. DOI: 10.33048/alglog.2023.62.304 РИНЦ
Dates:
Submitted: Nov 15, 2023
Accepted: Apr 10, 2024
Published print: Apr 19, 2024
Published online: Apr 19, 2024
Identifiers:
Web of science: WOS:001205721100001
Scopus: 2-s2.0-85190814178
Elibrary: 67031571
OpenAlex: W4394959697
Citing: Пока нет цитирований
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