C55-groups

被引:21
作者
Dolfi, S
Jabara, E
Lucido, MS
机构
[1] University of Florence, Italy
[2] University of Venice, Italy
[3] University of Udine, Italy
关键词
group; finite group; centralizer; Frobenius group;
D O I
10.1023/B:SIMJ.0000048920.62281.61
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We classify the C55-groups, i.e., finite groups in which the centralizer of every 5-element is a 5-group.
引用
收藏
页码:1053 / 1062
页数:10
相关论文
共 24 条
[1]  
Blackburn N., 1982, FINITE GROUPS, VII
[2]   DECOMPOSITION MATRICES OF GROUPS PSL(2,PF) [J].
BURKHARDT, R .
JOURNAL OF ALGEBRA, 1976, 40 (01) :75-96
[3]  
CURTIS CW, 1999, HIST MATH, V15, P75
[4]  
Feit W., 1962, NAGOYA MATH J, V21, P185, DOI DOI 10.1017/S0027763000023825
[5]   FINITE-GROUPS CONTAINING NO ELEMENT OF ORDER 6 [J].
FLETCHER, LR ;
STELLMACHER, B ;
STEWART, WB .
QUARTERLY JOURNAL OF MATHEMATICS, 1977, 28 (110) :143-154
[6]  
Higman G., 1968, Lecture Notes of University of Michigan, P76
[7]   A5-INVARIANT 2-GROUPS WITH NO TRIVIAL SECTIONS [J].
HOLT, DF ;
PLESKEN, W .
QUARTERLY JOURNAL OF MATHEMATICS, 1986, 37 (145) :39-47
[8]  
Huppert B., 1967, Endliche Gruppen I, VI
[9]   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
[10]  
JANSEN C, 1995, L M S MONOGRAPHS, V11