On Certain Torsion Groups Saturated with Finite Simple Groups
Matematičeskie trudy, Tome 1 (1998) no. 1, pp. 129-138
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A group $G$ is said to be saturated with groups in a set $X$ provided that every finite subgroup $K\leqslant G$ can be embedded in $G$ into a subgroup $L$ isomorphic to a group in $X$.
It is shown that a torsion group with a finite dihedral Sylow 2-subgroup which is saturated with finite simple nonabelian groups is locally finite and isomorphic to $L_2(P)$ (Theorem 1.1).
It is proven that a torsion group saturated with finite Ree groups is locally finite and isomorphic to a Ree group (Theorem 1.2).
@article{MT_1998_1_1_a5,
author = {A. K. Shlepkin},
title = {On {Certain} {Torsion} {Groups} {Saturated} with {Finite} {Simple} {Groups}},
journal = {Matemati\v{c}eskie trudy},
pages = {129--138},
publisher = {mathdoc},
volume = {1},
number = {1},
year = {1998},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MT_1998_1_1_a5/}
}
A. K. Shlepkin. On Certain Torsion Groups Saturated with Finite Simple Groups. Matematičeskie trudy, Tome 1 (1998) no. 1, pp. 129-138. http://geodesic.mathdoc.fr/item/MT_1998_1_1_a5/