Indecomposable Sylow 2-Subgroups of Simple Groups

被引：0

作者：

Koichiro Harada

Mong Lung Lang

机构：

[1] The Ohio State University,Department of Mathematics

[2] National University of Singapore,Department of Mathematics

来源：

Acta Applicandae Mathematica | 2005年 / 85卷

关键词：

Sylow 2-subgroups; simple groups;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let S be a Sylow 2-subgroup of a finite simple group and let S=S1×S2×⋅⋅⋅×Sk be the direct product and each component Si, i=1,2,. . .,k is indecomposable. In this article, we prove that each Si is also a Sylow 2-subgroup of some simple group.

引用

页码：161 / 194

页数：33

共 50 条

[31] FINITE GROUPS WITH SYLOW 2-SUBGROUPS OF TYPE 12
SOLOMON, RM
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 18 (07): : 1097 - &
[32] ON FINITE SIMPLE GROUPS WHOSE SYLOW 2-SUBGROUPS HAVE NO NORMAL ELEMENTARY SUBGROUPS OF ORDER 8
JANKO, Z
THOMPSON, JG
[J]. MATHEMATISCHE ZEITSCHRIFT, 1970, 113 (05) : 385 - &
[33] FINITE SIMPLE GROUPS WHOSE SYLOW 2-SUBGROUPS HAVE CYCLIC COMMUTATOR SUBGROUP
KONDRATEV, AS
[J]. SIBERIAN MATHEMATICAL JOURNAL, 1976, 17 (01) : 67 - 71
[34] 2-GROUPS WITH NO NORMAL ABELIAN SUBGROUPS OF RANK-3, AND THEIR OCCURRENCE AS SYLOW 2-SUBGROUPS OF FINITE SIMPLE GROUPS
MACWILLI.AR
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 150 (02) : 345 - &
[35] RATIONALITY AND SYLOW 2-SUBGROUPS
Navarro, Gabriel
Tent, Joan
[J]. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2010, 53 : 787 - 798
[36] SYLOW 2-SUBGROUPS WITH NO NORMAL ABELIAN SUBGROUPS OF RANK-3, IN FINITE FUSION-SIMPLE GROUPS
PATTERSON, AR
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 187 (01) : 1 - 67
[37] Coleman automorphisms of finite groups with semidihedral Sylow 2-subgroups
Aragona, R.
[J]. ACTA MATHEMATICA HUNGARICA, 2024, 172 (02) : 413 - 421
[38] FINITE-GROUPS WITH LARGE INTERSECTIONS OF SYLOW 2-SUBGROUPS
KABANOV, VV
[J]. SIBERIAN MATHEMATICAL JOURNAL, 1976, 17 (05) : 878 - 878
[39] CHARACTERS OF FINITE-GROUPS WITH DIHEDRAL SYLOW 2-SUBGROUPS
BENDER, H
GLAUBERMAN, G
[J]. JOURNAL OF ALGEBRA, 1981, 70 (01) : 200 - 215
[40] ON FINITE GROUPS WITH SEMI-DIHEDRAL SYLOW 2-SUBGROUPS
WONG, WJ
[J]. JOURNAL OF ALGEBRA, 1966, 4 (01) : 52 - &

← 1 2 3 4 5 →