SIMPLE GROUPS CONTAIN MINIMAL SIMPLE GROUPS

被引:19
作者
Barry, Michael J. J. [1 ]
Ward, Michael B. [2 ]
机构
[1] Allegheny Coll, Dept Math, Meadville, PA 16335 USA
[2] Bucknell Univ, Dept Math, Lewisburg, PA 17837 USA
关键词
D O I
10.5565/PUBLMAT_41297_07
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
It is a consequence of the classification of finite simple groups that every non-abelian simple group contains a subgroup which is a minimal simple group.
引用
收藏
页码:411 / 415
页数:5
相关论文
共 7 条
[1]  
Conway J., 1985, ATLAS FINITE GROUPS
[2]  
Huppert B., 1967, ENDLICHE GRUPPEN
[3]   ON A CLASS OF FINITE SIMPLE GROUPS OF REE [J].
JANKO, Z ;
THOMPSON, JG .
JOURNAL OF ALGEBRA, 1966, 4 (02) :274-&
[4]  
Kleidman P, 1990, LONDON MATH SOC LECT, V129
[5]   THE MAXIMAL-SUBGROUPS OF THE STEINBERG TRIALITY GROUPS 3D4(G) AND OF THEIR AUTOMORPHISM-GROUPS [J].
KLEIDMAN, PB .
JOURNAL OF ALGEBRA, 1988, 115 (01) :182-199
[6]   ON A CLASS OF DOUBLY TRANSITIVE GROUPS [J].
SUZUKI, M .
ANNALS OF MATHEMATICS, 1962, 75 (01) :105-&
[7]   NONSOLVABLE FINITE-GROUPS ALL OF WHOSE LOCAL SUBGROUPS ARE SOLVABLE .6. [J].
THOMPSON, JG .
PACIFIC JOURNAL OF MATHEMATICS, 1974, 51 (02) :573-630