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Mathematical Notes

, Volume 105, Issue 3–4, pp 513–518 | Cite as

Characterization of Locally Finite Simple Groups of Type G2 over Fields of Odd Characteristics in the Class of Periodic Groups

  • X. ZhuEmail author
  • D. V. LytkinaEmail author
  • V. D. MazurovEmail author
Article
  • 12 Downloads

Abstract

We prove that a periodic group is locally finite, given that each of its finite subgroups lies in a subgroup isomorphic to a finite simple group G2 of Lietypeovera field of odd characteristic.

Keywords

periodic group locally finite group group of Lie type saturation 

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Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Nanjing University of Aeronautics and AstronauticsNanjingP. R. China
  2. 2.Siberian State University of Telecommunications and Information SciencesNovosibirskRussia
  3. 3.Sobolev Institute of MathematicsSiberian Branch of Russian Academy of SciencesNovosibirskRussia

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