On representations of m-groups |
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| Authors: | S. V. Varaksin A. V. Zenkov |
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| Affiliation: | 12006. Altai State University, Barnaul, Russia
22006. Altai State University of Agriculture, Barnaul, Russia
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| Abstract: | We obtain a description of the m-transitive representations of an arbitrary m-group. Some necessary and sufficient conditions are given for an m-group to admit a faithful m-transitive representation. We establish as a corollary that each subdirectly m-indecomposable group admits a faithful m-transitive representation, and so each variety of m-groups is generated by its m-transitive groups. |
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