D. V. Lytkina, V. D. Mazurov, “On <nobr>$2$</nobr>-groups with finite subgroups of rank <nobr>$2$</nobr>”, Sibirsk. Mat. Zh., 2016, Volume 57, Number 3,Pages <nobr>675–682</nobr>

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Sibirsk. Mat. Zh., 2016 Volume 57, Number 3, Pages 675–682 (Mi smj2773)

On $2$-groups with finite subgroups of rank $2$

D. V. Lytkina^ab, V. D. Mazurov^cb

^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.

UDC: 512.54

Received: 03.02.2016

DOI: 10.17377/smzh.2016.57.315

English version: Siberian Mathematical Journal, 2016, 57:3, 532–537

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© Steklov Math. Inst. of RAS, 2025