Finite groups with many product conjugacy classes

被引:9
作者
Dade, Everett C.
机构
[1] Univ Illinois, Dept Math, Urbana, IL 61801 USA
[2] Harish Chandra Res Inst, Sch Math, Allahabad 211019, Uttar Pradesh, India
关键词
D O I
10.1007/BF02773598
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We classify all finite groups G such that the product of any two noninverse conjugacy classes of G is always a conjugacy class of G. We also classify all finite groups G for which the product of any two G-conjugacy classes which are not inverse modulo the center of G is again a conjugacy class of G.
引用
收藏
页码:29 / 49
页数:21
相关论文
共 6 条
[1]   SOME CONDITIONS WHICH ALMOST CHARACTERIZE FROBENIUS GROUPS [J].
CAMINA, AR .
ISRAEL JOURNAL OF MATHEMATICS, 1978, 31 (02) :153-160
[2]   On Camina groups of prime power order [J].
Dark, R ;
Scoppola, CM .
JOURNAL OF ALGEBRA, 1996, 181 (03) :787-802
[3]  
Hall P, 1940, J REINE ANGEW MATH, V182, P130
[4]  
Huppert B., 1967, Endliche Gruppen I, VI
[5]   SOME PARA-GROUPS OF FROBENIUS AND EXTRA-SPECIAL TYPE [J].
MACDONALD, ID .
ISRAEL JOURNAL OF MATHEMATICS, 1981, 40 (3-4) :350-364
[6]   ON P-GROUPS OF FROBENIUS TYPE [J].
MANN, A ;
SCOPPOLA, CM .
ARCHIV DER MATHEMATIK, 1991, 56 (04) :320-332