Hall Subgroups of Odd Order in Finite Groups
 E. P. Vdovin,
 D. O. Revin
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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 D _{π} group by a D _{π}group is again a D _{π} group. This result gives a partial answer to Question 3.62 posed by L. A. Shemetkov in the “Kourovka Notebook.”.
 Title
 Hall Subgroups of Odd Order in Finite Groups
 Journal

Algebra and Logic
Volume 41, Issue 1 , pp 829
 Cover Date
 200201
 DOI
 10.1023/A:1014653900781
 Print ISSN
 00025232
 Online ISSN
 15738302
 Publisher
 Kluwer Academic PublishersPlenum Publishers
 Additional Links
 Topics
 Keywords

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

 E. P. Vdovin ^{(1)}
 D. O. Revin ^{(1)}
 Author Affiliations

 1. Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Russia