The generalization of the Schur multipliers of Bieberbach groups

The Schur multiplier is the second homology group of a group. It has been found to be isomorphic to the kernel of a homomorphism which maps the elements in the exterior square of the group to the elements in its derived subgroup. Meanwhile, a Bieberbach group is a space group which is a discrete coc...

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Main Authors:	Masri, Rohaidah, Mat Hassim, Hazzirah Izzati, Sarmin, Nor Haniza, Mohd. Ali, Nor Muhainiah, Mohd. Idrus, Nor'ashiqin
Format:	Article
Published:	American Institute of Physics Inc. 2014
Subjects:	Q Science
Online Access:	http://eprints.utm.my/id/eprint/62929/ http://dx.doi.org/10.1063/1.4903622
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Institution:	Universiti Teknologi Malaysia

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spelling	my.utm.629292017-10-03T04:19:19Z http://eprints.utm.my/id/eprint/62929/ The generalization of the Schur multipliers of Bieberbach groups Masri, Rohaidah Mat Hassim, Hazzirah Izzati Sarmin, Nor Haniza Mohd. Ali, Nor Muhainiah Mohd. Idrus, Nor'ashiqin Q Science The Schur multiplier is the second homology group of a group. It has been found to be isomorphic to the kernel of a homomorphism which maps the elements in the exterior square of the group to the elements in its derived subgroup. Meanwhile, a Bieberbach group is a space group which is a discrete cocompact group of isometries of oriented Euclidean space. In this research, the Schur multipliers of Bieberbach groups with cyclic point group of order two of finite dimension are computed. American Institute of Physics Inc. 2014 Article PeerReviewed Masri, Rohaidah and Mat Hassim, Hazzirah Izzati and Sarmin, Nor Haniza and Mohd. Ali, Nor Muhainiah and Mohd. Idrus, Nor'ashiqin (2014) The generalization of the Schur multipliers of Bieberbach groups. AIP Conference Proceedings, 1635 . pp. 461-464. ISSN 0094-243X http://dx.doi.org/10.1063/1.4903622 DOI:10.1063/1.4903622
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/
topic	Q Science
spellingShingle	Q Science Masri, Rohaidah Mat Hassim, Hazzirah Izzati Sarmin, Nor Haniza Mohd. Ali, Nor Muhainiah Mohd. Idrus, Nor'ashiqin The generalization of the Schur multipliers of Bieberbach groups
description	The Schur multiplier is the second homology group of a group. It has been found to be isomorphic to the kernel of a homomorphism which maps the elements in the exterior square of the group to the elements in its derived subgroup. Meanwhile, a Bieberbach group is a space group which is a discrete cocompact group of isometries of oriented Euclidean space. In this research, the Schur multipliers of Bieberbach groups with cyclic point group of order two of finite dimension are computed.
format	Article
author	Masri, Rohaidah Mat Hassim, Hazzirah Izzati Sarmin, Nor Haniza Mohd. Ali, Nor Muhainiah Mohd. Idrus, Nor'ashiqin
author_facet	Masri, Rohaidah Mat Hassim, Hazzirah Izzati Sarmin, Nor Haniza Mohd. Ali, Nor Muhainiah Mohd. Idrus, Nor'ashiqin
author_sort	Masri, Rohaidah
title	The generalization of the Schur multipliers of Bieberbach groups
title_short	The generalization of the Schur multipliers of Bieberbach groups
title_full	The generalization of the Schur multipliers of Bieberbach groups
title_fullStr	The generalization of the Schur multipliers of Bieberbach groups
title_full_unstemmed	The generalization of the Schur multipliers of Bieberbach groups
title_sort	generalization of the schur multipliers of bieberbach groups
publisher	American Institute of Physics Inc.
publishDate	2014
url	http://eprints.utm.my/id/eprint/62929/ http://dx.doi.org/10.1063/1.4903622
_version_	1643655566625603584

The generalization of the Schur multipliers of Bieberbach groups

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