Consistency relations of an extension polycyclic free abelian lattice group by quaternion point group

An extension of a free abelian lattice group by finite group is a torsion free crystallographic group. It expounds its symmetrical properties or known as homological invariants. One of the methods to compute its homological invariants is by determining the polycyclic presentation of the group. These...

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Main Authors:	Mohammad, Siti Afiqah, Sarmin, Nor Haniza, Mat Hassim, Hazzirah Izzati
Format:	Conference or Workshop Item
Language:	English
Published:	2021
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/98180/1/NorHanizaSarmin2021_ConsistencyRelationsofanExtensionPolycyclicFreeAbelian.pdf http://eprints.utm.my/id/eprint/98180/ http://dx.doi.org/10.1088/1742-6596/1988/1/012071
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Institution:	Universiti Teknologi Malaysia
Language:	English

id	my.utm.98180
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spelling	my.utm.981802022-12-06T04:00:28Z http://eprints.utm.my/id/eprint/98180/ Consistency relations of an extension polycyclic free abelian lattice group by quaternion point group Mohammad, Siti Afiqah Sarmin, Nor Haniza Mat Hassim, Hazzirah Izzati QA Mathematics An extension of a free abelian lattice group by finite group is a torsion free crystallographic group. It expounds its symmetrical properties or known as homological invariants. One of the methods to compute its homological invariants is by determining the polycyclic presentation of the group. These polycyclic presentations are first shown to satisfy its consistency relations. Therefore, our focus is to show that this extension polycyclic free abelian lattice group by quaternion point group satisfy its consistency relations. 2021 Conference or Workshop Item PeerReviewed application/pdf en http://eprints.utm.my/id/eprint/98180/1/NorHanizaSarmin2021_ConsistencyRelationsofanExtensionPolycyclicFreeAbelian.pdf Mohammad, Siti Afiqah and Sarmin, Nor Haniza and Mat Hassim, Hazzirah Izzati (2021) Consistency relations of an extension polycyclic free abelian lattice group by quaternion point group. In: 28th Simposium Kebangsaan Sains Matematik, SKSM 2021, 28 - 29 July 2021, Kuantan, Pahang, Virtual. http://dx.doi.org/10.1088/1742-6596/1988/1/012071
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	QA Mathematics
spellingShingle	QA Mathematics Mohammad, Siti Afiqah Sarmin, Nor Haniza Mat Hassim, Hazzirah Izzati Consistency relations of an extension polycyclic free abelian lattice group by quaternion point group
description	An extension of a free abelian lattice group by finite group is a torsion free crystallographic group. It expounds its symmetrical properties or known as homological invariants. One of the methods to compute its homological invariants is by determining the polycyclic presentation of the group. These polycyclic presentations are first shown to satisfy its consistency relations. Therefore, our focus is to show that this extension polycyclic free abelian lattice group by quaternion point group satisfy its consistency relations.
format	Conference or Workshop Item
author	Mohammad, Siti Afiqah Sarmin, Nor Haniza Mat Hassim, Hazzirah Izzati
author_facet	Mohammad, Siti Afiqah Sarmin, Nor Haniza Mat Hassim, Hazzirah Izzati
author_sort	Mohammad, Siti Afiqah
title	Consistency relations of an extension polycyclic free abelian lattice group by quaternion point group
title_short	Consistency relations of an extension polycyclic free abelian lattice group by quaternion point group
title_full	Consistency relations of an extension polycyclic free abelian lattice group by quaternion point group
title_fullStr	Consistency relations of an extension polycyclic free abelian lattice group by quaternion point group
title_full_unstemmed	Consistency relations of an extension polycyclic free abelian lattice group by quaternion point group
title_sort	consistency relations of an extension polycyclic free abelian lattice group by quaternion point group
publishDate	2021
url	http://eprints.utm.my/id/eprint/98180/1/NorHanizaSarmin2021_ConsistencyRelationsofanExtensionPolycyclicFreeAbelian.pdf http://eprints.utm.my/id/eprint/98180/ http://dx.doi.org/10.1088/1742-6596/1988/1/012071
_version_	1751536158881349632

Consistency relations of an extension polycyclic free abelian lattice group by quaternion point group

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