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.
@article{paperid:1026357,
author = {Samad Rasid and N. H. Sarmin and Erfanian, Ahmad and N. M. Mohd Ali},
title = {On the nonabelian tensor square and capability of groups of order p2q},
journal = {Archiv der Mathematik},
year = {2011},
volume = {97},
number = {4},
month = {January},
issn = {0003-889X},
pages = {299--306},
numpages = {7},
keywords = {Multiplicator; Nonabelian tensor square; Capable groups.},
}
%0 Journal Article
%T On the nonabelian tensor square and capability of groups of order p2q
%A Samad Rasid
%A N. H. Sarmin
%A Erfanian, Ahmad
%A N. M. Mohd Ali
%J Archiv der Mathematik
%@ 0003-889X
%D 2011
