Flatness conditions on finite p-groups

被引：7
|
作者：
Tandra, H [1 ]
Moran, W
机构：
[1] Univ Adelaide, Sch Math Sci, Adelaide, SA 5005, Australia
[2] Univ Melbourne, Dept Elect & Elect Engn, Melbourne, Vic, Australia
来源：
COMMUNICATIONS IN ALGEBRA | 2004年 / 32卷 / 06期
关键词：
p-group; nilpotent; flat; Camina pair; Camina group;
D O I：
10.1081/AGB-120037215
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A group is flat if every finite conjugacy class is a coset of a (necessarily normal) subgroup. This paper is the first to consider the consequences of flatness condition for finite p-groups. The flatness condition is weaker than that of Camina pairs (as we shall prove in this paper) and a key aim of this paper is to prove a similar main result to that in the theory of such pairs. Consequences for orders, nilpotence classes and orders of centre of the groups are deduced.
引用
收藏
页码：2215 / 2224
页数：10
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