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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2014, Volume 20, Number 2, Pages 55–62
(Mi timm1058)
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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.
Received: 20.09.2013
Citation:
V. V. Belyaev, D. A. Shved, “Semisimple groups that have a faithful finitary permutation representation”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 2, 2014, 55–62
Linking options:
https://www.mathnet.ru/eng/timm1058 https://www.mathnet.ru/eng/timm/v20/i2/p55
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Statistics & downloads: |
Abstract page: | 210 | Full-text PDF : | 62 | References: | 43 | First page: | 7 |
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