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Algebra i logika, 2023, Volume 62, Number 3, Pages 400–407
DOI: https://doi.org/10.33048/alglog.2023.62.304 (Mi al2766) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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

J. Tanga, N. Yangb, A. S. Mamontovc

a Wuxi Institute of Technology
b Jiangnan University
c Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (161 kB) Citations (1) English version article
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DOI: https://doi.org/10.33048/alglog.2023.62.304
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 paper can be used in studying groups with a given set of element orders, also called a spectrum.
Keywords: Baer–Suzuki theorem, group of period 12.
Funding agency Grant number
Russian Science Foundation 23-41-10003
National Natural Science Foundation of China 11701223
Natural Science Foundation of Jiangsu Province 22KJB110024
J. Tang and N. Yang are supported by the National Nature Science Foundation of China (grant No. 11701223) and the Natural Science Foundation of the Higher Education Institutions of Jiangsu Province (grant No. 22KJB110024). A. S. Mamontov is supported by the Russian Science Foundation, project No. 23-41-10003; https://rscf.ru/en/project/23-41-10003/.
Received: 15.11.2023
Revised: 10.04.2024
English version:
Algebra and Logic, 2023, Volume 62, Issue 3, Pages 266–271
DOI: https://doi.org/10.1007/s10469-024-09744-3
Document Type: Article
UDC: 512.54
Language: Russian
Citation: J. Tang, N. Yang, A. S. Mamontov, “The Baer–Suzuki theorem for groups of 3-exponent 1”, Algebra Logika, 62:3 (2023), 400–407; Algebra and Logic, 62:3 (2023), 266–271
Citation in format AMSBIB
\Bibitem{TanYanMam23}
\by J.~Tang, N.~Yang, A.~S.~Mamontov
\paper The Baer--Suzuki theorem for groups of 3-exponent~1
\jour Algebra Logika
\yr 2023
\vol 62
\issue 3
\pages 400--407
\mathnet{http://mi.mathnet.ru/al2766}
\transl
\jour Algebra and Logic
\yr 2023
\vol 62
\issue 3
\pages 266--271
\crossref{https://doi.org/10.1007/s10469-024-09744-3}
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    		Алгебра и логика Algebra and Logic
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