Periodic groups saturated by the group $U_3(9)$
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 4 (2007), pp. 300-303
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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 $U_3(9)$.
@article{SEMR_2007_4_a19,
author = {D. V. Lytkina},
title = {Periodic groups saturated by the group $U_3(9)$},
journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
pages = {300--303},
publisher = {mathdoc},
volume = {4},
year = {2007},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SEMR_2007_4_a19/}
}
D. V. Lytkina. Periodic groups saturated by the group $U_3(9)$. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 4 (2007), pp. 300-303. http://geodesic.mathdoc.fr/item/SEMR_2007_4_a19/