Daria V. Lytkina, Victor D. Mazurov, “Groups with given element orders”, J. Sib. Fed. Univ. Math. Phys., 2014, Volume 7, Issue 2,Pages <nobr>191

This article is cited in 7 papers

Groups with given element orders

Daria V. Lytkina^ab, Victor D. Mazurov^c

^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.

UDC: 512.54

Received: 25.12.2013
Received in revised form: 04.02.2014
Accepted: 20.02.2014

Language: English