A HUGHES-LIKE PROPERTY FOR FINITE-GROUPS

被引:4
作者
BRYCE, RA
FEDRI, V
SERENA, L
机构
[1] AUSTRALIAN NATL UNIV,SCH MATH SCI,CANBERRA,ACT 0200,AUSTRALIA
[2] UNIV FLORENCE,DIPARTIMENTO MATEMAT,I-50134 FLORENCE,ITALY
关键词
D O I
10.1017/S0013091500019325
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Several structure theorems are proved for groups G having the following property. There is a prime p and a collection of subgroups of G such that the elements of G which lie in the complement of every subgroup of the collection all have order p.
引用
收藏
页码:533 / 541
页数:9
相关论文
共 5 条
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BLACKBURN B. HUPPERT AND N., 1982, FINITE GROUPS
[2]   ON A THEOREM OF HUGHES AND THOMPSON [J].
BRYCE, RA .
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1994, 50 (01) :41-48
[3]  
Hughes D.R., 1959, PAC J MATH, V9, P1097
[4]  
Kegel O.H., 1960, MATH Z, V75, P373
[5]  
Thompson J, 1959, Proc Natl Acad Sci U S A, V45, P578, DOI 10.1073/pnas.45.4.578