Science in China Series A: Mathematics

, Volume 52, Issue 2, pp 311–317 | Cite as

On periodic groups with prescribed orders of elements

  • Victor Danilovich Mazurov
  • WuJie ShiEmail author


This is a survey of results and open problems concerning the structure of periodic group with prescribed orders of their elements. In particular, an outline of a proof of the following recent result is given: every periodic group whose set of element orders coincides with {1, 2, 3, 4, 8} is locally finite.


spectrum periodic group local finiteness 




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© Science in China Press and Springer-Verlag GmbH 2009

Authors and Affiliations

  1. 1.Sobolev Institute of MathematicsSiberian Branch of Russian Academy of SciencesNovosibirskRussia
  2. 2.School of Mathematical SciencesSuzhou UniversitySuzhouChina

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