Consistent polycyclic presentation of a Bieberbach group with a nonabelian point group
Research on the nonabelian tensor square of a group is requisite on finding the other homological functors. One of the methods to explicate the nonabelian tensor square is to ensure the presentation of the group is polycyclic and to prove its consistency. In this research, the polycyclic presentatio...
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American Institute of Physics Inc.
2016
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author | Mohammad, S. A. Sarmin, N. H. Hassim, H. I. M. |
author_facet | Mohammad, S. A. Sarmin, N. H. Hassim, H. I. M. |
author_sort | Mohammad, S. A. |
collection | ePrints |
description | Research on the nonabelian tensor square of a group is requisite on finding the other homological functors. One of the methods to explicate the nonabelian tensor square is to ensure the presentation of the group is polycyclic and to prove its consistency. In this research, the polycyclic presentation of a Bieberbach group with the quaternion point group of order eight is shown to be consistent. |
first_indexed | 2024-03-05T20:06:05Z |
format | Conference or Workshop Item |
id | utm.eprints-73425 |
institution | Universiti Teknologi Malaysia - ePrints |
last_indexed | 2024-03-05T20:06:05Z |
publishDate | 2016 |
publisher | American Institute of Physics Inc. |
record_format | dspace |
spelling | utm.eprints-734252017-11-23T01:37:09Z http://eprints.utm.my/73425/ Consistent polycyclic presentation of a Bieberbach group with a nonabelian point group Mohammad, S. A. Sarmin, N. H. Hassim, H. I. M. QA Mathematics Research on the nonabelian tensor square of a group is requisite on finding the other homological functors. One of the methods to explicate the nonabelian tensor square is to ensure the presentation of the group is polycyclic and to prove its consistency. In this research, the polycyclic presentation of a Bieberbach group with the quaternion point group of order eight is shown to be consistent. American Institute of Physics Inc. 2016 Conference or Workshop Item PeerReviewed Mohammad, S. A. and Sarmin, N. H. and Hassim, H. I. M. (2016) Consistent polycyclic presentation of a Bieberbach group with a nonabelian point group. In: 7th SEAMS UGM International Conference on Mathematics and Its Applications: Enhancing the Role of Mathematics in Interdisciplinary Research, 18-21 Aug 2015, Yogyakarta, Indonesia. https://www.scopus.com/inward/record.uri?eid=2-s2.0-84984541408&doi=10.1063%2f1.4940813&partnerID=40&md5=84f3211f60baa9d5889326c4b9a2dfa3 |
spellingShingle | QA Mathematics Mohammad, S. A. Sarmin, N. H. Hassim, H. I. M. Consistent polycyclic presentation of a Bieberbach group with a nonabelian point group |
title | Consistent polycyclic presentation of a Bieberbach group with a nonabelian point group |
title_full | Consistent polycyclic presentation of a Bieberbach group with a nonabelian point group |
title_fullStr | Consistent polycyclic presentation of a Bieberbach group with a nonabelian point group |
title_full_unstemmed | Consistent polycyclic presentation of a Bieberbach group with a nonabelian point group |
title_short | Consistent polycyclic presentation of a Bieberbach group with a nonabelian point group |
title_sort | consistent polycyclic presentation of a bieberbach group with a nonabelian point group |
topic | QA Mathematics |
work_keys_str_mv | AT mohammadsa consistentpolycyclicpresentationofabieberbachgroupwithanonabelianpointgroup AT sarminnh consistentpolycyclicpresentationofabieberbachgroupwithanonabelianpointgroup AT hassimhim consistentpolycyclicpresentationofabieberbachgroupwithanonabelianpointgroup |