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Sibirskii Matematicheskii Zhurnal, 2020, Volume 61, Number 6, Pages 1366–1376
DOI: https://doi.org/10.33048/smzh.2020.61.610 (Mi smj6056) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On periodic groups isospectral to $a_7$. ii

A. S. Mamontova, E. Jabarab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Dipartimento di Filosofia e Beni Culturali, Universitá di Ca'Foscari, Dorsoduro 3484/D-30123 Venezia, Italy
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DOI: https://doi.org/10.33048/smzh.2020.61.610
Abstract: Let $G$ be a periodic group and let $\omega(G)$ be the spectrum of $G$. We prove that if $G$ is isospectral to $A_7$, the alternating group of degree $7$ (i.e., $\omega(G)$ is equal to the spectrum of $A_7$); then $G$ has a finite nonabelian simple subgroup.
Keywords: periodic group, locally finite group, spectrum.
Funding agency Grant number
Russian Foundation for Basic Research 18-31-20011
The first author was supported by the Russian Foundation for Basic Research (Grant 18–31–20011).
Received: 07.05.2020
Revised: 04.06.2020
Accepted: 17.06.2020
English version:
Siberian Mathematical Journal, 2020, Volume 61, Issue 6, Pages 1093–1101
DOI: https://doi.org/10.1134/S0037446620060105
Bibliographic databases:
Document Type: Article
UDC: 517.518.85
Language: Russian
Citation: A. S. Mamontov, E. Jabara, “On periodic groups isospectral to $a_7$. ii”, Sibirsk. Mat. Zh., 61:6 (2020), 1366–1376; Siberian Math. J., 61:6 (2020), 1093–1101
Citation in format AMSBIB
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