The finite simple groups have complemented subgroup lattices

被引:3
作者
Costantini, M [1 ]
Zacher, G [1 ]
机构
[1] Univ Padua, Dipartimento Matemat Pura & Applicata, I-35131 Padua, Italy
关键词
D O I
10.2140/pjm.2004.213.245
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove that the lattice of subgroups of every finite simple group is a complemented lattice.
引用
收藏
页码:245 / 251
页数:7
相关论文
共 17 条
[1]  
[Anonymous], LECT NOTES MATH
[2]  
ASCHBACHER M, 1976, NAGOYA MATH J, V63
[3]   MAXIMAL SUBGROUPS AND AUTOMORPHISMS OF CHEVALLEY GROUPS [J].
BURGOYNE, N ;
GRIESS, R ;
LYONS, R .
PACIFIC JOURNAL OF MATHEMATICS, 1977, 71 (02) :365-403
[4]  
CARTER RW, 1989, SIMPLE GROUPS LIE TY
[5]   MAXIMAL-SUBGROUPS OF G2(2N) [J].
COOPERSTEIN, BN .
JOURNAL OF ALGEBRA, 1981, 70 (01) :23-36
[6]  
Kleidman P. B., 1987, THESIS U CAMBRIDGE
[7]   THE MAXIMAL-SUBGROUPS OF THE CHEVALLEY GROUPS-G2(Q) WITH Q-ODD, THE REE GROUPS 2G2(Q), AND THEIR AUTOMORPHISM-GROUPS [J].
KLEIDMAN, PB .
JOURNAL OF ALGEBRA, 1988, 117 (01) :30-71
[8]   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
[9]  
Kleidman PB., 1990, SUBGROUP STRUCTURE F, VVol. 129
[10]   OVERGROUPS IN GL(NR,F) OF CERTAIN SUBGROUPS OF SL(N,K) .1. [J].
LI, SZ .
JOURNAL OF ALGEBRA, 1989, 125 (01) :215-235