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Journal of Siberian Federal University. Mathematics & Physics, 2014, Volume 7, Issue 2, Pages 191–203
(Mi jsfu360)
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This article is cited in 7 scientific papers (total in 7 papers)
Groups with given element orders
Daria V. Lytkinaab, Victor D. Mazurovc a Siberian State University of Telecommunications and Informtaion Sciencies, Kirova, 86, Novosibirsk, 630102 Russia
b Novosibirsk State University, Pirogova, 2, Novosibirsk, 630090
Russia
c Sobolev Institute of Mathematics, Prospekt Akad. Koptyuga, 4, Novosibirsk, 630090 Russia
Abstract:
This paper is a survey of some results and open problems about the structure of (mostly infinite) periodic groups with a given set of element orders. It is based on a talk of authors given on the conference “Algebra and Logic: Theory and Application” dedicated to the 80-th anniversary of V. P. Shunkov (Krasnoyarsk, July 21–27, 2013).
Keywords:
spectrum, exponent, periodic group, locally finite group.
Received: 25.12.2013 Received in revised form: 04.02.2014 Accepted: 20.02.2014
Citation:
Daria V. Lytkina, Victor D. Mazurov, “Groups with given element orders”, J. Sib. Fed. Univ. Math. Phys., 7:2 (2014), 191–203
Linking options:
https://www.mathnet.ru/eng/jsfu360 https://www.mathnet.ru/eng/jsfu/v7/i2/p191
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Abstract page: | 669 | Full-text PDF : | 204 | References: | 57 |
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