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The nonabelian tensor square of a Bieberbach group with symmetric point group of order six

Ting, T. Y. and Idrus, N. M. and Masri, R. and Wan Mohd. Fauzia, W. N. F. and Sarmin, N. H. and Mat Hassim, H. I. (2016) The nonabelian tensor square of a Bieberbach group with symmetric point group of order six. Jurnal Teknologi, 78 (1). pp. 189-193. ISSN 0127-9696

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Abstract

Bieberbach groups are torsion free crystallographic groups. In this paper, our focus is given on the Bieberbach groups with symmetric point group of order six. The nonabelian tensor square of a group is a well known homological functor which can reveal the properties of a group. With the method developed for polycyclic groups, the nonabelian tensor square of one of the Bieberbach groups of dimension four with symmetric point group of order six is computed. The nonabelian tensor square of this group is found to be not abelian and its presentation is constructed.

Item Type:Article
Uncontrolled Keywords:Bieberbach group, Nonabelian tensor square, Polycyclic group
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:74269
Deposited By: Widya Wahid
Deposited On:22 Nov 2017 12:07
Last Modified:22 Nov 2017 12:07

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