Nonabelian Sylow subgroups of finite groups of even order
Authors:
Naoki Chigira, Nobuo Iiyori and Hiroyoshi Yamaki
Journal:
Electron. Res. Announc. Amer. Math. Soc. 4 (1998), 8890
MSC (1991):
Primary 20D05, 20D06, 20D20
Published electronically:
November 10, 1998
MathSciNet review:
1661753
Fulltext PDF Free Access
Abstract 
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Additional Information
Abstract: We have been able to prove that every nonabelian Sylow subgroup of a finite group of even order contains a nontrivial element which commutes with an involution. The proof depends upon the consequences of the classification of finite simple groups.
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Additional Information
Naoki Chigira
Affiliation:
Department of Mathematical Sciences, Muroran Institute of Technology, Hokkaido 0508585, Japan
Email:
chigira@muroranit.ac.jp
Nobuo Iiyori
Affiliation:
Department of Mathematics, Faculty of Education, Yamaguchi University, Yamaguchi 7538512, Japan
Email:
iiyori@po.yb.cc.yamaguchiu.ac.jp
Hiroyoshi Yamaki
Affiliation:
Department of Mathematics, Kumamoto University, Kumamoto 8608555, Japan
Email:
yamaki@gpo.kumamotou.ac.jp
DOI:
http://dx.doi.org/10.1090/S1079676298000511
PII:
S 10796762(98)000511
Keywords:
Sylow subgroups,
prime graphs,
simple groups
Received by editor(s):
October 20, 1997
Published electronically:
November 10, 1998
Additional Notes:
The third author was supported in part by GrantinAid for Scientific Research (No. 8304003, No. 08640051), Ministry of Education, Science, Sports and Culture, Japan.
Communicated by:
Efim Zelmanov
Article copyright:
© Copyright 1998 American Mathematical Society
