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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2007, Volume 4, Pages 300–303
(Mi semr160)
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This article is cited in 6 scientific papers (total in 6 papers)
Research papers
Periodic groups saturated by the group $U_3(9)$
D. V. Lytkina Novosibirsk State University
Abstract:
Let $\mathfrak{M}$ be a set of finite groups. A group $G$ is said to be saturated by $\mathfrak{M}$, if every finite subgroup of $G$ is contained in a subgroup isomorphic to a group from $\mathfrak{M}$. We prove that a periodic group saturated by set consisting of the single finite simple group $U_3(9)=PSU_3(81)$ is
isomorphic to $U_3(9)$.
Received May 18, 2007, published July 5, 2007
Citation:
D. V. Lytkina, “Periodic groups saturated by the group $U_3(9)$”, Sib. Èlektron. Mat. Izv., 4 (2007), 300–303
Linking options:
https://www.mathnet.ru/eng/semr160 https://www.mathnet.ru/eng/semr/v4/p300
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