Normal subgroups of powerful p-groups

被引：1

作者：

Williams, James ^{[1
]}

机构：

[1] Univ Bristol, Sch Math, Fry Bldg,Woodland Rd, Bristol BS8 1UG, Avon, England

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2020年 / 240卷 / 01期

关键词：

D O I：

10.1007/s11856-020-2065-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note we show that if p is an odd prime and G is a powerful p-group with N <= G(p) and N normal in G, then N is powerfully nilpotent. An analogous result is proved for p = 2 when N <= G(4).

引用

页码：267 / 273

页数：7

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