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Abelianization of some finite metacyclic 2-groups

A group G is metacyclic if it contains a cyclic normal subgroup K such that G/K is also cyclic. Finite metacyclic groups can be presented with two generators and three defining relations. In this work, we determine the structures of the derived subgroup, abelianization and itsWhitehead's quadra...

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Main Author: Mohd. Ali, Nor Muhainiah
Format: Conference or Workshop Item
Online Access:http://eprints.utm.my/id/eprint/33982/
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spelling my.utm.339822017-08-16T03:49:12Z http://eprints.utm.my/id/eprint/33982/ Abelianization of some finite metacyclic 2-groups Mohd. Ali, Nor Muhainiah A group G is metacyclic if it contains a cyclic normal subgroup K such that G/K is also cyclic. Finite metacyclic groups can be presented with two generators and three defining relations. In this work, we determine the structures of the derived subgroup, abelianization and itsWhitehead's quadratic functor of some finite nonabelian metacyclic 2-groups based on their classification done by Beuerle in 2005. In addition, the nonabelin tensor product for some cyclicgroups is determined. Conference or Workshop Item PeerReviewed Mohd. Ali, Nor Muhainiah Abelianization of some finite metacyclic 2-groups. In: International Science Postgraduate Conference 2012 (ISPC 2012).
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/
description A group G is metacyclic if it contains a cyclic normal subgroup K such that G/K is also cyclic. Finite metacyclic groups can be presented with two generators and three defining relations. In this work, we determine the structures of the derived subgroup, abelianization and itsWhitehead's quadratic functor of some finite nonabelian metacyclic 2-groups based on their classification done by Beuerle in 2005. In addition, the nonabelin tensor product for some cyclicgroups is determined.
format Conference or Workshop Item
author Mohd. Ali, Nor Muhainiah
spellingShingle Mohd. Ali, Nor Muhainiah
Abelianization of some finite metacyclic 2-groups
author_facet Mohd. Ali, Nor Muhainiah
author_sort Mohd. Ali, Nor Muhainiah
title Abelianization of some finite metacyclic 2-groups
title_short Abelianization of some finite metacyclic 2-groups
title_full Abelianization of some finite metacyclic 2-groups
title_fullStr Abelianization of some finite metacyclic 2-groups
title_full_unstemmed Abelianization of some finite metacyclic 2-groups
title_sort abelianization of some finite metacyclic 2-groups
url http://eprints.utm.my/id/eprint/33982/
_version_ 1643649485406994432
score 13.211869

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