Geodesic
Semisimple groups that have a~faithful finitary permutation representation
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 2, pp. 55-62

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We show that a locally finite semisimple group has a faithful finitary permutation representation if and only if any of its residually finite subgroups is locally normal.
Keywords: finitary permutation groups. 
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     title = {Semisimple groups that have a~faithful finitary permutation representation},
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V. V. Belyaev; D. A. Shved. Semisimple groups that have a~faithful finitary permutation representation. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 2, pp. 55-62. http://geodesic.mathdoc.fr/item/TIMM_2014_20_2_a4/