Archiv der Mathematik, ( ISI ), Volume (97), No (4), Year (2011-1) , Pages (299-306)

Title : ( On the nonabelian tensor square and capability of groups of order p2q )

Authors: Samad Rasid , N. H. Sarmin , Ahmad Erfanian , N. M. Mohd Ali ,
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Abstract

A group G is said to be capable if it is isomorphic to the central factor group H/Z(H) for some group H. Let G be a nonabelian group of order p2q for distinct primes p and q. In this paper, we compute the nonabelian tensor square of the group G. It is also shown that G is capable if and only if either Z(G) = 1 or p < q and Gab = Zp × Zp.

Keywords

, Multiplicator, Nonabelian tensor square, Capable groups.