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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Main Authors: Mohammad, S. A., Sarmin, N. H., Hassim, H. I. M.
Format: Conference or Workshop Item
Published: American Institute of Physics Inc. 2016
Subjects:
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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.
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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
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