Homological functors of infinite non abelian 2-generator groups of nilpotency class two-the composition theorem

In 2002, the classification of infinite non-Abelian 2-generator groups of nilpotency class 2 has been given. Let R be the class of infinite 2-generator groups of nilpotency class 2. Using their classification and nonabelian tensor squares, we determine the homological functors in R such as the exter...

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Main Authors:	Mohd. Ali, Nor Muhainiah, Sarmin, Nor Haniza, Luise, Charlotte Kappe
Format:	Conference or Workshop Item
Published:	2009
Subjects:	Q Science (General)
Online Access:	http://eprints.utm.my/id/eprint/15268/ http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:100254
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Institution:	Universiti Teknologi Malaysia

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spelling	my.utm.152682020-08-30T08:46:16Z http://eprints.utm.my/id/eprint/15268/ Homological functors of infinite non abelian 2-generator groups of nilpotency class two-the composition theorem Mohd. Ali, Nor Muhainiah Sarmin, Nor Haniza Luise, Charlotte Kappe Q Science (General) In 2002, the classification of infinite non-Abelian 2-generator groups of nilpotency class 2 has been given. Let R be the class of infinite 2-generator groups of nilpotency class 2. Using their classification and nonabelian tensor squares, we determine the homological functors in R such as the exterior square, the symmetric square and the Schur multiplier. They are given in what we call “the Composition Theorem”. 2009 Conference or Workshop Item PeerReviewed Mohd. Ali, Nor Muhainiah and Sarmin, Nor Haniza and Luise, Charlotte Kappe (2009) Homological functors of infinite non abelian 2-generator groups of nilpotency class two-the composition theorem. In: 5th Asian Mathematical Conference (AMC09), 2009, PWTC, Kuala Lumpur. http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:100254
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 (General)
spellingShingle	Q Science (General) Mohd. Ali, Nor Muhainiah Sarmin, Nor Haniza Luise, Charlotte Kappe Homological functors of infinite non abelian 2-generator groups of nilpotency class two-the composition theorem
description	In 2002, the classification of infinite non-Abelian 2-generator groups of nilpotency class 2 has been given. Let R be the class of infinite 2-generator groups of nilpotency class 2. Using their classification and nonabelian tensor squares, we determine the homological functors in R such as the exterior square, the symmetric square and the Schur multiplier. They are given in what we call “the Composition Theorem”.
format	Conference or Workshop Item
author	Mohd. Ali, Nor Muhainiah Sarmin, Nor Haniza Luise, Charlotte Kappe
author_facet	Mohd. Ali, Nor Muhainiah Sarmin, Nor Haniza Luise, Charlotte Kappe
author_sort	Mohd. Ali, Nor Muhainiah
title	Homological functors of infinite non abelian 2-generator groups of nilpotency class two-the composition theorem
title_short	Homological functors of infinite non abelian 2-generator groups of nilpotency class two-the composition theorem
title_full	Homological functors of infinite non abelian 2-generator groups of nilpotency class two-the composition theorem
title_fullStr	Homological functors of infinite non abelian 2-generator groups of nilpotency class two-the composition theorem
title_full_unstemmed	Homological functors of infinite non abelian 2-generator groups of nilpotency class two-the composition theorem
title_sort	homological functors of infinite non abelian 2-generator groups of nilpotency class two-the composition theorem
publishDate	2009
url	http://eprints.utm.my/id/eprint/15268/ http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:100254
_version_	1677781062213697536

Homological functors of infinite non abelian 2-generator groups of nilpotency class two-the composition theorem

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