Algebra and Logic

, Volume 41, Issue 1, pp 8–29

Hall Subgroups of Odd Order in Finite Groups

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

DOI: 10.1023/A:1014653900781

Cite this article as:
Vdovin, E.P. & Revin, D.O. Algebra and Logic (2002) 41: 8. doi:10.1023/A:1014653900781

Abstract

We complete the description of Hall subgroups of odd order in finite simple groups initiated by F. Gross, and as a consequence, bring to a close the study of odd order Hall subgroups in all finite groups modulo classification of finite simple groups. In addition, it is proved that for every set π of primes, an extension of an arbitrary Dπ-group by a Dπ-group is again a Dπ-group. This result gives a partial answer to Question 3.62 posed by L. A. Shemetkov in the “Kourovka Notebook.”.

finite simple group, Hall subgroup, exceptional groups of Lie type 

Copyright information

© Plenum Publishing Corporation 2002

Authors and Affiliations

  • E. P. Vdovin
    • 1
  • D. O. Revin
    • 1
  1. 1.Institute of Mathematics, Siberian BranchRussian Academy of SciencesRussia

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