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This article is cited in 34 scientific papers (total in 34 papers)
On Certain Torsion Groups Saturated with Finite Simple Groups
A. K. Shlepkin Krasnoyarsk State Technical University
Abstract:
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).
Key words:
torsion group, Sylow 2-subgroup, Ree group.
Received: 01.04.1998
Citation:
A. K. Shlepkin, “On Certain Torsion Groups Saturated with Finite Simple Groups”, Mat. Tr., 1:1 (1998), 129–138; Siberian Adv. Math., 9:2 (1999), 100–108
Linking options:
https://www.mathnet.ru/eng/mt136 https://www.mathnet.ru/eng/mt/v1/i1/p129
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Abstract page: | 371 | Full-text PDF : | 107 | First page: | 1 |
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