A BOUND ON THE ORDER OF NON-ABELIAN TENSOR SQUARE OF A PRIME-POWER GROUP

被引：5

作者：

Jafari, S. H. ^{[1
]}

机构：

[1] Islamic Azad Univ, Dept Math, Mashhad Branch, Mashhad, Iran

来源：

COMMUNICATIONS IN ALGEBRA | 2012年 / 40卷 / 02期

关键词：

Non-abelian tensor square; PRODUCTS;

D O I：

10.1080/00927872.2010.532845

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article improves on an upper bound for the order of the non-abelian tensor square of a finite p-group G given in [3]. In particular, applying this for finite p-groups of order p(n) with factor group G/G' of order p(m), the bound p(nm) attains if and only if G is elementary abelian of rank n, quaternion group of order 8, or extra special p-group of order p(3) with odd exponent p.

引用

页码：528 / 530

页数：3

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