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
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Online Access:http://eprints.utm.my/id/eprint/15268/
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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
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score 13.160551