The presentation of the nonabelian tensor square of a Bieberbach group of dimension five with dihedral point group

The presentation of the nonabelian tensor square of a Bieberbach group of dimension five with dihedral point group

One of the homological functors of a group, is the nonabelian tensor square. It is important in the determination of the other homological functors of a group. In order to compute the nonabelian tensor square, we need to get its independent generators and its presentation. In this paper, we present...

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Bibliographic Details
Main Authors: Wan Mohd Fauzi, Wan Nor Farhana, Mohd. Idrus, Nor'ashiqin, Masri, Rohaidah, Tan, Yee Ting, Sarmin, Nor Haniza, Mat Hassim, Hazzirah Izzati
Format: Conference or Workshop Item
Published: AIP Publishing 2014
Subjects:
Q Science
Online Access:http://eprints.utm.my/id/eprint/63002/
http://dx.doi.org/10.1063/1.4903616
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Institution: Universiti Teknologi Malaysia
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Summary:One of the homological functors of a group, is the nonabelian tensor square. It is important in the determination of the other homological functors of a group. In order to compute the nonabelian tensor square, we need to get its independent generators and its presentation. In this paper, we present the calculation of getting the presentation of the nonabelian tensor square of the group. The presentation is computed based on its independent generators by using the polycyclic method.

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