New criterions of existence and conjugacy of Hall subgroups of finite groups
Authors:
Wenbin Guo and Alexander N. Skiba
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
Published electronically:
December 2, 2010
MathSciNet review:
2784797
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
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.
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-semipermutable subgroups of finite groups, J. Algebra, 2007, 315, 31-41. 
-permutable subgroups, Algebra Colloquium, 2008, 15(2), 185-192. Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 20D10, 20D20
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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
DOI:
https://doi.org/10.1090/S0002-9939-2010-10675-5
Keywords:
Sylow subgroup,
Hall subgroup,
$\pi$-separable group,
permutable subgroups,
$C_{\pi}$-group.
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
Article copyright:
© Copyright 2010
American Mathematical Society
