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
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.
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页码:528 / 530
页数:3
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