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

页码：2215 / 2224

页数：10

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