Groups that are almost homogeneous

被引:17
作者
Maurer, H
Stroppel, M
机构
[1] TH Darmstadt, Fachbereich Math, D-64289 Darmstadt, Germany
[2] Univ Stuttgart, Math Inst B1, D-70550 Stuttgart, Germany
关键词
automorphisms of groups; Heisenberg groups; quaternion groups; Suzuki; 2-groups;
D O I
10.1023/A:1005090519480
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We classify those groups whose automorphism group has at most three orbits. In other words, we classify those groups whose holomorph is a rank 3 permutation group.
引用
收藏
页码:229 / 243
页数:15
相关论文
共 18 条
[1]  
[Anonymous], 1989, ELEMENTS MATH ALGEBR
[2]  
Artin E., 1957, GEOMETRIC ALGEBRA, DOI 10.1002/9781118164518
[3]  
CRONHEIM A, 1965, ILLINOIS J MATH, V9, P1
[4]  
FUCHS L, 1970, INFINITE ABELIAN GRO, V1
[5]  
Gorenstein D., 1980, Finite groups, V2
[6]  
Greub WernerH., 1967, MULTILINEAR ALGEBRA
[7]  
Higman G., 1949, J LOND MATH SOC, V24, P247, DOI [10.1112/jlms/s1-24.4.247, 10.1112/jlms/s1-24.4.247.t3]
[8]  
Higman G., 1963, ILLINOIS J MATH, V7, P79
[9]  
Jacobson N., 1985, BASIC ALGEBRA 1, V2nd
[10]  
Jungnickel D., 1993, Finite Fields: Structure and Arithmetics