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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive
Trudy Inst. Mat. i Mekh. UrO RAN, 2014 Volume 20, Number 2, Pages 55–62 (Mi timm1058)
Semisimple groups that have a faithful finitary permutation representation

V. V. Belyaeva, D. A. Shved

a Moscow Institute of Physics and Technology (State University)

Abstract: 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.

UDC: 512.544

Received: 20.09.2013



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