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

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

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 deve...

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Bibliographic Details
Main Authors: Ting, T. Y., Idrus, N. M., Masri, R., Wan Mohd. Fauzia, W. N. F., Sarmin, N. H., Mat Hassim, H. I.
Format: Article
Language:English
Published: Penerbit UTM Press 2016
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/74269/1/NorHanizaSarmin2016_TheNonabelianTensorSquare.pdf
http://eprints.utm.my/id/eprint/74269/
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84952319201&doi=10.11113%2fjt.v78.4385&partnerID=40&md5=5fcfacb2cc88bf659665e231b30afea5
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Institution: Universiti Teknologi Malaysia
Language: English
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Summary: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.

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