Consistency Relations of an Extension Polycyclic Free Abelian Lattice Group by Quaternion Point Group

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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Published in:Journal of Physics: Conference Series
Main Author: Mohammad S.A.; Sarmin N.H.; Hassim H.I.M.
Format: Conference paper
Language:English
Published: IOP Publishing Ltd 2021
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85114200952&doi=10.1088%2f1742-6596%2f1988%2f1%2f012071&partnerID=40&md5=0c10875d239b753b78daa79247018b0c
id 2-s2.0-85114200952
spelling 2-s2.0-85114200952
Mohammad S.A.; Sarmin N.H.; Hassim H.I.M.
Consistency Relations of an Extension Polycyclic Free Abelian Lattice Group by Quaternion Point Group
2021
Journal of Physics: Conference Series
1988
1
10.1088/1742-6596/1988/1/012071
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85114200952&doi=10.1088%2f1742-6596%2f1988%2f1%2f012071&partnerID=40&md5=0c10875d239b753b78daa79247018b0c
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. © Published under licence by IOP Publishing Ltd.
IOP Publishing Ltd
17426588
English
Conference paper
All Open Access; Gold Open Access
author Mohammad S.A.; Sarmin N.H.; Hassim H.I.M.
spellingShingle Mohammad S.A.; Sarmin N.H.; Hassim H.I.M.
Consistency Relations of an Extension Polycyclic Free Abelian Lattice Group by Quaternion Point Group
author_facet Mohammad S.A.; Sarmin N.H.; Hassim H.I.M.
author_sort Mohammad S.A.; Sarmin N.H.; Hassim H.I.M.
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
container_title Journal of Physics: Conference Series
container_volume 1988
container_issue 1
doi_str_mv 10.1088/1742-6596/1988/1/012071
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-85114200952&doi=10.1088%2f1742-6596%2f1988%2f1%2f012071&partnerID=40&md5=0c10875d239b753b78daa79247018b0c
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. © Published under licence by IOP Publishing Ltd.
publisher IOP Publishing Ltd
issn 17426588
language English
format Conference paper
accesstype All Open Access; Gold Open Access
record_format scopus
collection Scopus
_version_ 1809677893547065344

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