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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2008, Volume 5, Pages 20–24
(Mi semr88)
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This article is cited in 5 scientific papers (total in 5 papers)
Research papers
Insolubility of finite groups which are isospectral to the alternating group of degree $10$
A. M. Staroletov
Abstract:
Let $G$ be a finite group and $\omega(G)$ the set of all element orders of $G$. We prove that if $\omega(G)=\omega(A_{10})$ where $G$ is a finite group, then $G$ is not-soluble.
Received September 10, 2008, published February 21, 2008
Citation:
A. M. Staroletov, “Insolubility of finite groups which are isospectral to the alternating group of degree $10$”, Sib. Èlektron. Mat. Izv., 5 (2008), 20–24
Linking options:
https://www.mathnet.ru/eng/semr88 https://www.mathnet.ru/eng/semr/v5/p20
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