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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 3, Pages 47–55
(Mi timm837)
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This article is cited in 1 scientific paper (total in 1 paper)
Finitary permutation groups and the topology of pointwise convergence
V. V. Belyaev Moscow Institute of Physics and Technology (State University)
Abstract:
We investigate the structure of the closure of a finitary permutation group in the topology of pointwise convergence. The obtained results are used to show, in particular, that any locally inner endomorphism (automorphism) of an arbitrary subgroup from a finitary permutation group is continued to some locally inner endomorphism (automorphism) of the whole group.
Keywords:
finitary permutation groups, topology of pointwise convergence, locally inner endomorphisms and automorphisms of groups.
Received: 18.01.2012
Citation:
V. V. Belyaev, “Finitary permutation groups and the topology of pointwise convergence”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 3, 2012, 47–55
Linking options:
https://www.mathnet.ru/eng/timm837 https://www.mathnet.ru/eng/timm/v18/i3/p47
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Abstract page: | 236 | Full-text PDF : | 89 | References: | 55 | First page: | 2 |
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