New criterions of existence and conjugacy of Hall subgroups of finite groups
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- by Wenbin Guo and Alexander N. Skiba PDF
- Proc. Amer. Math. Soc. 139 (2011), 2327-2336 Request permission
Abstract:
In the paper, new criterions for existence and conjugacy of Hall subgroups of finite groups are given. In particular, the Schur-Zassenhaus theorem, Hall theorem and Čunihin theorem are generalized.References
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Additional Information
- Wenbin Guo
- Affiliation: Department of Mathematics, University of Science and Technology of China, Hefei 230026, People’s Republic of China
- Email: wbguo@ustc.edu.cn
- Alexander N. Skiba
- Affiliation: Department of Mathematics, Francisk Skorina Gomel State University, Gomel 246019, Belarus
- Email: alexander.skiba49@gmail.com
- Received by editor(s): February 23, 2010
- Received by editor(s) in revised form: May 12, 2010, and June 19, 2010
- Published electronically: December 2, 2010
- Additional Notes: The research of the first author was supported by an NNSF grant of China
- Communicated by: Jonathan I. Hall
- © Copyright 2010 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 139 (2011), 2327-2336
- MSC (2010): Primary 20D10, 20D20
- DOI: https://doi.org/10.1090/S0002-9939-2010-10675-5
- MathSciNet review: 2784797