On products of cyclic and abelian finite p-groups (p odd)

被引：1

作者：

McCann, Brendan ^{[1
]}

机构：

[1] Waterford Inst Technol, Dept Comp & Math, Cork Rd, Waterford, Ireland

来源：

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2018年 / 94卷 / 08期

关键词：

Products of groups; factorised groups; finite p-groups;

D O I：

10.3792/pjaa.94.77

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For an odd prime p, it is shown that if G = AB is a finite p-group, for subgroups A and B such that A is cyclic and B is abelian of exponent at most p(k), then Omega(k)(A)B (sic) G, where Omega(k)(A) = < g is an element of A vertical bar g(pk) = 1 >.

引用

页码：77 / 80

页数：4

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