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On the nonabelian tensor square and capability of groups of order p2q

Rashid, S. and Sarmin, N. H. and Erfanian, A. and Mohd. Ali, Nor Muhainiah (2011) On the nonabelian tensor square and capability of groups of order p2q. Archiv der Mathematik, 97 (4). pp. 299-306. ISSN 0003-889X

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Official URL: http://dx.doi.org/10.1007/s00013-011-0304-8

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 p 2 q 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 .

Item Type:Article
Subjects:Q Science
Divisions:Science
ID Code:29671
Deposited By: Maznah Mohamed Ali
Deposited On:21 Mar 2013 16:04
Last Modified:17 Oct 2017 12:50

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