Geodesic
Groups with given element orders
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 2, pp. 191-203

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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. 
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Daria V. Lytkina; Victor D. Mazurov. Groups with given element orders. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 2, pp. 191-203. http://geodesic.mathdoc.fr/item/JSFU_2014_7_2_a5/