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The incipient infinite cluster in high-dimensional percolation
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Nonabelian Sylow subgroups of finite groups of even order
Naoki Chigira, Nobuo Iiyori and Hiroyoshi Yamaki
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.
Copyright 1998 American Mathematical Society
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Article Info
- ERA Amer. Math. Soc. 04 (1998), pp. 88-90
- Publisher Identifier: S 1079-6762(98)00051-1
- 1991 Mathematics Subject Classification. Primary 20D05
- Key words and phrases.Sylow subgroups, prime graphs, simple groups
- Received by the editors October 20, 1997
- Posted on November 10, 1998
- Communicated by Efim Zelmanov
- Comments (When Available)
Naoki Chigira
Department of Mathematical Sciences,
Muroran Institute of Technology, Hokkaido 050-8585, Japan
E-mail address: chigira@muroran-it.ac.jp
Nobuo Iiyori
Department of Mathematics, Faculty of Education,
Yamaguchi University, Yamaguchi 753-8512, Japan
E-mail address: iiyori@po.yb.cc.yamaguchi-u.ac.jp
Hiroyoshi Yamaki
Department of Mathematics,
Kumamoto University, Kumamoto 860-8555, Japan
E-mail address: yamaki@gpo.kumamoto-u.ac.jp
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