Computing the exterior center of metacyclic p-groups of nilpotency class at least three
A group G is metacyclic if it contains a cyclic normal subgroup K such that GK is also cyclic. Metacyclic p-groups classified by dfferent authors. A group is called capable if it is a central factor group. The purpose of this study is to compute the exterior center of finite non-abelian metacyclic p...
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| Format: | Article |
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Asian Network for Scientific Information
2012
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| author | Basri, Abdulqader Mohammed Abdullah Sarmin, Nor Haniza Mohd. Ali, Nor Muhainiah Beuerle, James R. |
| author_facet | Basri, Abdulqader Mohammed Abdullah Sarmin, Nor Haniza Mohd. Ali, Nor Muhainiah Beuerle, James R. |
| author_sort | Basri, Abdulqader Mohammed Abdullah |
| collection | ePrints |
| description | A group G is metacyclic if it contains a cyclic normal subgroup K such that GK is also cyclic. Metacyclic p-groups classified by dfferent authors. A group is called capable if it is a central factor group. The purpose of this study is to compute the exterior center of finite non-abelian metacyclic p-groups, p is an odd prime, for some small order groups using Groups, Algorithms and Programming (GAP) software. We also determine which of these groups are capable. |
| first_indexed | 2024-03-05T18:52:47Z |
| format | Article |
| id | utm.eprints-33015 |
| institution | Universiti Teknologi Malaysia - ePrints |
| last_indexed | 2024-03-05T18:52:47Z |
| publishDate | 2012 |
| publisher | Asian Network for Scientific Information |
| record_format | dspace |
| spelling | utm.eprints-330152018-10-21T04:30:09Z http://eprints.utm.my/33015/ Computing the exterior center of metacyclic p-groups of nilpotency class at least three Basri, Abdulqader Mohammed Abdullah Sarmin, Nor Haniza Mohd. Ali, Nor Muhainiah Beuerle, James R. QA75 Electronic computers. Computer science A group G is metacyclic if it contains a cyclic normal subgroup K such that GK is also cyclic. Metacyclic p-groups classified by dfferent authors. A group is called capable if it is a central factor group. The purpose of this study is to compute the exterior center of finite non-abelian metacyclic p-groups, p is an odd prime, for some small order groups using Groups, Algorithms and Programming (GAP) software. We also determine which of these groups are capable. Asian Network for Scientific Information 2012 Article PeerReviewed Basri, Abdulqader Mohammed Abdullah and Sarmin, Nor Haniza and Mohd. Ali, Nor Muhainiah and Beuerle, James R. (2012) Computing the exterior center of metacyclic p-groups of nilpotency class at least three. Journal of Applied Sciences, 12 (15). pp. 1608-1612. ISSN 1812-5654 https://scialert.net/abstract/?doi=jas.2012.1608.1612 DOI:10.3923/jas.2012.1608.1612 |
| spellingShingle | QA75 Electronic computers. Computer science Basri, Abdulqader Mohammed Abdullah Sarmin, Nor Haniza Mohd. Ali, Nor Muhainiah Beuerle, James R. Computing the exterior center of metacyclic p-groups of nilpotency class at least three |
| title | Computing the exterior center of metacyclic p-groups of nilpotency class at least three |
| title_full | Computing the exterior center of metacyclic p-groups of nilpotency class at least three |
| title_fullStr | Computing the exterior center of metacyclic p-groups of nilpotency class at least three |
| title_full_unstemmed | Computing the exterior center of metacyclic p-groups of nilpotency class at least three |
| title_short | Computing the exterior center of metacyclic p-groups of nilpotency class at least three |
| title_sort | computing the exterior center of metacyclic p groups of nilpotency class at least three |
| topic | QA75 Electronic computers. Computer science |
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