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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| Format: | Article |
| Language: | English |
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Penerbit UTM Press
2016
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| Online Access: | http://eprints.utm.my/74269/1/NorHanizaSarmin2016_TheNonabelianTensorSquare.pdf |
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| author | Ting, T. Y. Idrus, N. M. Masri, R. Wan Mohd. Fauzia, W. N. F. Sarmin, N. H. Mat Hassim, H. I. |
| author_facet | Ting, T. Y. Idrus, N. M. Masri, R. Wan Mohd. Fauzia, W. N. F. Sarmin, N. H. Mat Hassim, H. I. |
| author_sort | Ting, T. Y. |
| collection | ePrints |
| description | 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. |
| first_indexed | 2024-03-05T20:07:44Z |
| format | Article |
| id | utm.eprints-74269 |
| institution | Universiti Teknologi Malaysia - ePrints |
| language | English |
| last_indexed | 2024-03-05T20:07:44Z |
| publishDate | 2016 |
| publisher | Penerbit UTM Press |
| record_format | dspace |
| spelling | utm.eprints-742692017-11-22T12:07:40Z http://eprints.utm.my/74269/ The nonabelian tensor square of a Bieberbach group with symmetric point group of order six Ting, T. Y. Idrus, N. M. Masri, R. Wan Mohd. Fauzia, W. N. F. Sarmin, N. H. Mat Hassim, H. I. QA Mathematics 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. Penerbit UTM Press 2016 Article PeerReviewed application/pdf en http://eprints.utm.my/74269/1/NorHanizaSarmin2016_TheNonabelianTensorSquare.pdf 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 https://www.scopus.com/inward/record.uri?eid=2-s2.0-84952319201&doi=10.11113%2fjt.v78.4385&partnerID=40&md5=5fcfacb2cc88bf659665e231b30afea5 |
| spellingShingle | QA Mathematics Ting, T. Y. Idrus, N. M. Masri, R. Wan Mohd. Fauzia, W. N. F. Sarmin, N. H. Mat Hassim, H. I. The nonabelian tensor square of a Bieberbach group with symmetric point group of order six |
| title | The nonabelian tensor square of a Bieberbach group with symmetric point group of order six |
| title_full | The nonabelian tensor square of a Bieberbach group with symmetric point group of order six |
| title_fullStr | The nonabelian tensor square of a Bieberbach group with symmetric point group of order six |
| title_full_unstemmed | The nonabelian tensor square of a Bieberbach group with symmetric point group of order six |
| title_short | The nonabelian tensor square of a Bieberbach group with symmetric point group of order six |
| title_sort | nonabelian tensor square of a bieberbach group with symmetric point group of order six |
| topic | QA Mathematics |
| url | http://eprints.utm.my/74269/1/NorHanizaSarmin2016_TheNonabelianTensorSquare.pdf |
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