The exterior square of a Bieberbach group with quaternion point group of order eight

A Bieberbach group is defined to be a torsion free crystallographic group which is an extension of a free abelian lattice group by a finite point group. This paper aims to determine a mathematical representation of a Bieberbach group with quaternion point group of order eight. Such mathematical repr...

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Main Authors:	Mohammad, S. A., Sarmin, N. H., Mat Hassim, H. I.
Format:	Article
Language:	English
Published:	Akademi Sains Malaysia 2020
Subjects:	QA75 Electronic computers. Computer science
Online Access:	http://eprints.utm.my/id/eprint/90039/1/NorHanizaSarmin2020_TheExteriorSquareofaBieberbachGroup.pdf http://eprints.utm.my/id/eprint/90039/ http://dx.doi.org/10.32802/asmscj.2020.sm26(1.23)
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Institution:	Universiti Teknologi Malaysia
Language:	English

id	my.utm.90039
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spelling	my.utm.900392021-03-31T05:04:09Z http://eprints.utm.my/id/eprint/90039/ The exterior square of a Bieberbach group with quaternion point group of order eight Mohammad, S. A. Sarmin, N. H. Mat Hassim, H. I. QA75 Electronic computers. Computer science A Bieberbach group is defined to be a torsion free crystallographic group which is an extension of a free abelian lattice group by a finite point group. This paper aims to determine a mathematical representation of a Bieberbach group with quaternion point group of order eight. Such mathematical representation is the exterior square. Mathematical method from representation theory is used to find the exterior square of this group. The exterior square of this group is found to be nonabelian. Akademi Sains Malaysia 2020 Article PeerReviewed application/pdf en http://eprints.utm.my/id/eprint/90039/1/NorHanizaSarmin2020_TheExteriorSquareofaBieberbachGroup.pdf Mohammad, S. A. and Sarmin, N. H. and Mat Hassim, H. I. (2020) The exterior square of a Bieberbach group with quaternion point group of order eight. ASM Science Journal, 13 . p. 7. ISSN 1823-6782 http://dx.doi.org/10.32802/asmscj.2020.sm26(1.23)
institution	Universiti Teknologi Malaysia
building	UTM Library
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universiti Teknologi Malaysia
content_source	UTM Institutional Repository
url_provider	http://eprints.utm.my/
language	English
topic	QA75 Electronic computers. Computer science
spellingShingle	QA75 Electronic computers. Computer science Mohammad, S. A. Sarmin, N. H. Mat Hassim, H. I. The exterior square of a Bieberbach group with quaternion point group of order eight
description	A Bieberbach group is defined to be a torsion free crystallographic group which is an extension of a free abelian lattice group by a finite point group. This paper aims to determine a mathematical representation of a Bieberbach group with quaternion point group of order eight. Such mathematical representation is the exterior square. Mathematical method from representation theory is used to find the exterior square of this group. The exterior square of this group is found to be nonabelian.
format	Article
author	Mohammad, S. A. Sarmin, N. H. Mat Hassim, H. I.
author_facet	Mohammad, S. A. Sarmin, N. H. Mat Hassim, H. I.
author_sort	Mohammad, S. A.
title	The exterior square of a Bieberbach group with quaternion point group of order eight
title_short	The exterior square of a Bieberbach group with quaternion point group of order eight
title_full	The exterior square of a Bieberbach group with quaternion point group of order eight
title_fullStr	The exterior square of a Bieberbach group with quaternion point group of order eight
title_full_unstemmed	The exterior square of a Bieberbach group with quaternion point group of order eight
title_sort	exterior square of a bieberbach group with quaternion point group of order eight
publisher	Akademi Sains Malaysia
publishDate	2020
url	http://eprints.utm.my/id/eprint/90039/1/NorHanizaSarmin2020_TheExteriorSquareofaBieberbachGroup.pdf http://eprints.utm.my/id/eprint/90039/ http://dx.doi.org/10.32802/asmscj.2020.sm26(1.23)
_version_	1696976252633612288

The exterior square of a Bieberbach group with quaternion point group of order eight

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