Geodesic
Finitary permutation groups and the topology of pointwise convergence
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 3, pp. 47-55 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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V. V. Belyaev. Finitary permutation groups and the topology of pointwise convergence. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 3, pp. 47-55. http://geodesic.mathdoc.fr/item/TIMM_2012_18_3_a5/

[1] Belyaev V. V., “Pryamye summy finitarnykh grupp podstanovok”, Tr. In-ta matematiki i mekhaniki UrO RAN, 15, no. 2, 2009, 45–49 | Zbl

[2] Belyaev V. V., “Spleteniya grupp finitarnykh podstanovok”, Tr. In-ta matematiki i mekhaniki UrO RAN, 17, no. 4, 2011, 38–43