The homological functors of some finite two-generator two-groups of nilpotency class two

The homological functors are originated in homotopy theory. One of the homological functors, namely the nonabelian tensor square, was introduced by Brown and Loday in 1987. Meanwhile, the rest of the homological functors were introduced by Bacon and Kappe in 2003. Some of the homological functors ar...

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Main Author:	Zainal, Rosita
Format:	Thesis
Language:	English
Published:	2012
Subjects:	Q Science (General)
Online Access:	http://eprints.utm.my/id/eprint/32605/1/RositaZainalMFS2012.pdf
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id	my-utm-ep.32605
record_format	uketd_dc
spelling	my-utm-ep.326052017-08-23T02:41:11Z The homological functors of some finite two-generator two-groups of nilpotency class two 2012 Zainal, Rosita Q Science (General) The homological functors are originated in homotopy theory. One of the homological functors, namely the nonabelian tensor square, was introduced by Brown and Loday in 1987. Meanwhile, the rest of the homological functors were introduced by Bacon and Kappe in 2003. Some of the homological functors are J (G), �(G), exterior square, the Schur multiplier, �(G), the symmetric square and J�(G). The nonabelian tensor square and some homological functors of some finite two-generator two-groups of nilpotency class two are determined in this research. A software named Groups, Algorithms and Programming (GAP) is used to compute and verify the nonabelian tensor square and some homological functors of some finite two-generator two-groups of nilpotency class two. 2012 Thesis http://eprints.utm.my/id/eprint/32605/ http://eprints.utm.my/id/eprint/32605/1/RositaZainalMFS2012.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:78792?queryType=vitalDismax&query=The+homological+functors+of+some+finite+two-generator+two-groups+of+nilpotency+class+two&public=true masters Universiti Teknologi Malaysia, Faculty of Science Faculty of Science
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	Q Science (General)
spellingShingle	Q Science (General) Zainal, Rosita The homological functors of some finite two-generator two-groups of nilpotency class two
description	The homological functors are originated in homotopy theory. One of the homological functors, namely the nonabelian tensor square, was introduced by Brown and Loday in 1987. Meanwhile, the rest of the homological functors were introduced by Bacon and Kappe in 2003. Some of the homological functors are J (G), �(G), exterior square, the Schur multiplier, �(G), the symmetric square and J�(G). The nonabelian tensor square and some homological functors of some finite two-generator two-groups of nilpotency class two are determined in this research. A software named Groups, Algorithms and Programming (GAP) is used to compute and verify the nonabelian tensor square and some homological functors of some finite two-generator two-groups of nilpotency class two.
format	Thesis
qualification_level	Master's degree
author	Zainal, Rosita
author_facet	Zainal, Rosita
author_sort	Zainal, Rosita
title	The homological functors of some finite two-generator two-groups of nilpotency class two
title_short	The homological functors of some finite two-generator two-groups of nilpotency class two
title_full	The homological functors of some finite two-generator two-groups of nilpotency class two
title_fullStr	The homological functors of some finite two-generator two-groups of nilpotency class two
title_full_unstemmed	The homological functors of some finite two-generator two-groups of nilpotency class two
title_sort	homological functors of some finite two-generator two-groups of nilpotency class two
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2012
url	http://eprints.utm.my/id/eprint/32605/1/RositaZainalMFS2012.pdf
_version_	1747816042949771264

The homological functors of some finite two-generator two-groups of nilpotency class two

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