Some applications of Two-Generator p-Groups of Nilpotency class two
The classification of all two-generator groups of nilpotency class two have been done by Nor Haniza Sarmin in 2000. Earlier research on the finite case was introduced by Kappe et. al in 1999 and Bacon and Kappe in 1993. Later, in 2000, James Beuerle and Kappe focus their classification to infinite m...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Faculty of Science
2001
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| Online Access: | http://eprints.utm.my/1113/ http://eprints.utm.my/1113/3/NorHanizaSarmin2001_SomeapplicationofTwoGenerator.pdf |
| _version_ | 1848890066225594368 |
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| author | Sarmin, Nor Haniza Mohd. Seran, Idariyana |
| author_facet | Sarmin, Nor Haniza Mohd. Seran, Idariyana |
| author_sort | Sarmin, Nor Haniza |
| building | UTeM Institutional Repository |
| collection | Online Access |
| description | The classification of all two-generator groups of nilpotency class two have been done by Nor Haniza Sarmin in 2000. Earlier research on the finite case was introduced by Kappe et. al in 1999 and Bacon and Kappe in 1993. Later, in 2000, James Beuerle and Kappe focus their classification to infinite metacyclic groups and some of their applications. This paper will focus on the applications of two-generator p-groups of nilpotency class two including the nonabelian tensor squares and the exterior squares. We will also determine which of these groups are capable. |
| first_indexed | 2025-11-15T20:36:09Z |
| format | Article |
| id | utm-1113 |
| institution | Universiti Teknologi Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T20:36:09Z |
| publishDate | 2001 |
| publisher | Faculty of Science |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | utm-11132010-08-13T04:18:06Z http://eprints.utm.my/1113/ Some applications of Two-Generator p-Groups of Nilpotency class two Sarmin, Nor Haniza Mohd. Seran, Idariyana QA75 Electronic computers. Computer science QA Mathematics The classification of all two-generator groups of nilpotency class two have been done by Nor Haniza Sarmin in 2000. Earlier research on the finite case was introduced by Kappe et. al in 1999 and Bacon and Kappe in 1993. Later, in 2000, James Beuerle and Kappe focus their classification to infinite metacyclic groups and some of their applications. This paper will focus on the applications of two-generator p-groups of nilpotency class two including the nonabelian tensor squares and the exterior squares. We will also determine which of these groups are capable. Faculty of Science 2001-12 Article PeerReviewed application/pdf en http://eprints.utm.my/1113/3/NorHanizaSarmin2001_SomeapplicationofTwoGenerator.pdf Sarmin, Nor Haniza and Mohd. Seran, Idariyana (2001) Some applications of Two-Generator p-Groups of Nilpotency class two. Matematika, 17 (2). pp. 51-61. ISSN 0127-8274 http://www.fs.utm.my/matematika/content/view/59/31/ |
| spellingShingle | QA75 Electronic computers. Computer science QA Mathematics Sarmin, Nor Haniza Mohd. Seran, Idariyana Some applications of Two-Generator p-Groups of Nilpotency class two |
| title | Some applications of Two-Generator p-Groups of Nilpotency class two |
| title_full | Some applications of Two-Generator p-Groups of Nilpotency class two |
| title_fullStr | Some applications of Two-Generator p-Groups of Nilpotency class two |
| title_full_unstemmed | Some applications of Two-Generator p-Groups of Nilpotency class two |
| title_short | Some applications of Two-Generator p-Groups of Nilpotency class two |
| title_sort | some applications of two-generator p-groups of nilpotency class two |
| topic | QA75 Electronic computers. Computer science QA Mathematics |
| url | http://eprints.utm.my/1113/ http://eprints.utm.my/1113/ http://eprints.utm.my/1113/3/NorHanizaSarmin2001_SomeapplicationofTwoGenerator.pdf |