The generalization of the exterior square of a Bieberbach group
The exterior square of a group is one of the homological functors which were originated in the homotopy theory. Meanwhile, a Bieberbach group is a torsion free crystallographic group. A Bieberbach group with cyclic point group of order two, C2, of dimension n can be defined as the direct product of...
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| Format: | Article |
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American Institute of Physics Inc.
2014
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| author | Masri, Rohaidah Mat Hassim, Hazzirah Izzati Sarmin, Nor Haniza Mohd. Ali, Nor Muhainiah Mohd. Idrus, Nor'ashiqin |
| author_facet | Masri, Rohaidah Mat Hassim, Hazzirah Izzati Sarmin, Nor Haniza Mohd. Ali, Nor Muhainiah Mohd. Idrus, Nor'ashiqin |
| author_sort | Masri, Rohaidah |
| collection | ePrints |
| description | The exterior square of a group is one of the homological functors which were originated in the homotopy theory. Meanwhile, a Bieberbach group is a torsion free crystallographic group. A Bieberbach group with cyclic point group of order two, C2, of dimension n can be defined as the direct product of that group of the smallest dimension with a free abelian group. Using the group presentation and commutator generating sequence, the exterior square of a Bieberbach group with point group C2 of dimension n is computed. |
| first_indexed | 2024-03-05T19:55:12Z |
| format | Article |
| id | utm.eprints-62928 |
| institution | Universiti Teknologi Malaysia - ePrints |
| last_indexed | 2024-03-05T19:55:12Z |
| publishDate | 2014 |
| publisher | American Institute of Physics Inc. |
| record_format | dspace |
| spelling | utm.eprints-629282017-10-03T04:18:47Z http://eprints.utm.my/62928/ The generalization of the exterior square of a Bieberbach group Masri, Rohaidah Mat Hassim, Hazzirah Izzati Sarmin, Nor Haniza Mohd. Ali, Nor Muhainiah Mohd. Idrus, Nor'ashiqin QA Mathematics The exterior square of a group is one of the homological functors which were originated in the homotopy theory. Meanwhile, a Bieberbach group is a torsion free crystallographic group. A Bieberbach group with cyclic point group of order two, C2, of dimension n can be defined as the direct product of that group of the smallest dimension with a free abelian group. Using the group presentation and commutator generating sequence, the exterior square of a Bieberbach group with point group C2 of dimension n is computed. American Institute of Physics Inc. 2014 Article PeerReviewed Masri, Rohaidah and Mat Hassim, Hazzirah Izzati and Sarmin, Nor Haniza and Mohd. Ali, Nor Muhainiah and Mohd. Idrus, Nor'ashiqin (2014) The generalization of the exterior square of a Bieberbach group. AIP Conference Proceedings, 1602 . pp. 849-854. ISSN 0094-243X http://dx.doi.org/10.1063/1.4882583 DOI:10.1063/1.4882583 |
| spellingShingle | QA Mathematics Masri, Rohaidah Mat Hassim, Hazzirah Izzati Sarmin, Nor Haniza Mohd. Ali, Nor Muhainiah Mohd. Idrus, Nor'ashiqin The generalization of the exterior square of a Bieberbach group |
| title | The generalization of the exterior square of a Bieberbach group |
| title_full | The generalization of the exterior square of a Bieberbach group |
| title_fullStr | The generalization of the exterior square of a Bieberbach group |
| title_full_unstemmed | The generalization of the exterior square of a Bieberbach group |
| title_short | The generalization of the exterior square of a Bieberbach group |
| title_sort | generalization of the exterior square of a bieberbach group |
| topic | QA Mathematics |
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