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On $2$-groups with finite subgroups of rank $2$
D. V. Lytkinaab, V. D. Mazurovcb a Siberian State University of Telecommunications and Informatics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
c Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
Abstract:
A classification is achieved of the $2$-groups all of whose finite subgroups are generated by two elements.
Keywords:
periodic group, period, Burnside problem, locally finite group.
Received: 03.02.2016
Citation:
D. V. Lytkina, V. D. Mazurov, “On $2$-groups with finite subgroups of rank $2$”, Sibirsk. Mat. Zh., 57:3 (2016), 675–682; Siberian Math. J., 57:3 (2016), 532–537
Linking options:
https://www.mathnet.ru/eng/smj2773 https://www.mathnet.ru/eng/smj/v57/i3/p675
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Abstract page: | 245 | Full-text PDF : | 58 | References: | 39 | First page: | 6 |
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