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Siberian Mathematical Journal

, Volume 53, Issue 3, pp 419–430 | Cite as

Pronormality of Hall subgroups in finite simple groups

  • E. P. Vdovin
  • D. O. Revin
Article

Abstract

We prove that the Hall subgroups of finite simple groups are pronormal. Thus we obtain an affirmative answer to Problem 17.45(a) of the Kourovka Notebook.

Keywords

Hall subgroup pronormal subgroup simple group 

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Copyright information

© Pleiades Publishing, Ltd. 2012

Authors and Affiliations

  1. 1.Sobolev Institute of Mathematics and Novosibirsk State UniversityNovosibirskRussia

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