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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2011, Volume 17, Number 4, Pages 83–87
(Mi timm752)
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This article is cited in 2 scientific papers (total in 2 papers)
On a periodic Shunkov group saturated by direct products of finite elementary abelian 2-groups and L2(2n)
A. A. Duzha, A. A. Shlepkinb a Krasnoyarsk State Agricultural University
b Siberian Federal University
Abstract:
Let ℜ be a set of groups. A group G is said to be saturated by groups from ℜ if any finite subgroup from G is contained in a subgroup of G isomorphic to some group from ℜ. It is proved that a periodic Shunkov group saturated by groups from the set ℜ={L2(2k)×In∣n∈N}, where In is the direct product of n copies of groups of order 2 and k is a fixed number, is locally finite.
Keywords:
periodic group, Shunkov group, saturation.
Received: 09.03.2011
Citation:
A. A. Duzh, A. A. Shlepkin, “On a periodic Shunkov group saturated by direct products of finite elementary abelian 2-groups and L2(2n)”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 4, 2011, 83–87
Linking options:
https://www.mathnet.ru/eng/timm752 https://www.mathnet.ru/eng/timm/v17/i4/p83
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Abstract page: | 424 | Full-text PDF : | 113 | References: | 92 |
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