%0 Journal Article
%T Non abelian tensor square of non abelian prime power groups
%A Peyman Niroomand
%J Mathematics
%D 2010
%I arXiv
%X For every $p$-group of order $p^n$ with the derived subgroup of order $p^m$, Rocco in \cite{roc} has shown that the order of tensor square of $G$ is at most $p^{n(n-m)}$. In the present paper not only we improve his bound for non-abelian $p$-groups but also we describe the structure of all non-abelian $p$-groups when the bound is attained for a special case. Moreover, our results give as well an upper bound for the order of $\pi_3(SK(G, 1))$.
%U http://arxiv.org/abs/1012.3738v2