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

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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. Mamontov^a, E. Jabara^b

^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 18вЂ“31вЂ“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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Linking options:

https://www.mathnet.ru/eng/smj6056

https://www.mathnet.ru/eng/smj/v61/i6/p1366

Cycle of papers

On periodic groups isospectral to $a_7$
A. S. Mamontov
Sibirsk. Mat. Zh., 2020, 61:1, 137–147
On periodic groups isospectral to $a_7$ . ii
A. S. Mamontov, E. Jabara
Sibirsk. Mat. Zh., 2020, 61:6, 1366–1376

This publication is cited in the following 2 articles:

A. S. Mamontov, E. Jabara, “Recognizing $A_7$ by its set of element orders”, Siberian Math. J., 62:1 (2021), 93–104
N. Yang, A. S. Mamontov, “ $(2,3)$ -generated groups with small element orders”, Algebra and Logic, 60:3 (2021), 217–222

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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References:	37
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