Nonabelian Sylow subgroups of finite groups of even order

被引：1

作者：

Chigira, N ^{[1
]}

Iiyori, N

Yamaki, H

机构：

[1] Yamaguchi Univ, Fac Educ, Dept Math, Yamaguchi 7538512, Japan

[2] Kumamoto Univ, Dept Math, Kumamoto 8608555, Japan

来源：

ELECTRONIC RESEARCH ANNOUNCEMENTS OF THE AMERICAN MATHEMATICAL SOCIETY | 1998年 / 4卷

关键词：

Sylow subgroups; prime graphs; simple groups;

D O I：

10.1090/S1079-6762-98-00051-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：88 / 90

页数：3

共 15 条

[1] Number of Sylow subgroups and p-nilpotence of finite groups [J].

Chigira, N .

JOURNAL OF ALGEBRA, 1998, 201 (01) :71-85

[2]

Chigira N, 1998, OSAKA J MATH, V35, P439

[3]

CHIGIRA N, IN PRESS J GROUP THE

[4]

CHIGIRA N, UNPUB NONABELIAN SYL

[5] PRIME GRAPH COMPONENTS OF THE SIMPLE-GROUPS OF LIE TYPE OVER THE FIELD OF EVEN CHARACTERISTIC [J].

IIYORI, N ;

YAMAKI, H .

JOURNAL OF ALGEBRA, 1993, 155 (02) :335-343

[6] ON A CONJECTURE OF FROBENIUS [J].

IIYORI, N ;

YAMAKI, H .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 25 (02) :413-416

[7] SHARP CHARACTERS AND PRIME GRAPHS OF FINITE-GROUPS [J].

IIYORI, N .

JOURNAL OF ALGEBRA, 1994, 163 (01) :1-8

[8] A CONJECTURE OF FROBENIUS AND THE SIMPLE-GROUPS OF LIE TYPE .3. [J].

IIYORI, N ;

YAMAKI, H .

JOURNAL OF ALGEBRA, 1992, 145 (02) :329-332

[9] A CONJECTURE OF FROBENIUS AND THE SIMPLE-GROUPS OF LIE TYPE .4. [J].

IIYORI, N .

JOURNAL OF ALGEBRA, 1993, 154 (01) :188-214

[10]

IIYORI N, 1996, AM MATH SOC, V9, P69

← 1 2 →