On groups with given properties of the finite subgroups generated by couples of 2-elements |
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| Authors: | D. V. Lytkina V. D. Mazurov |
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| Affiliation: | 11012. Siberian State University of Telecommunications and Information Sciences, Novosibirsk State University, Novosibirsk, Russia
21012. Sobolev Institute of Mathematics and Novosibirsk State University, Novosibirsk, Russia
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| Abstract: | Suppose that every finite subgroup, generated by a couple of 2-elements of a periodic group, is either nilpotent of class 2 or of exponent 4. We prove that the group possesses the normal Sylow 2-subgroup that is either nilpotent of class 2 or of exponent 4. |
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