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
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Official URL: https://scialert.net/abstract/?doi=jas.2012.1608.1...
Abstract
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.
Item Type: | Article |
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Uncontrolled Keywords: | Capable groups, Exterior center, Metacyclic groups |
Subjects: | Q Science > QA Mathematics > QA75 Electronic computers. Computer science |
Divisions: | Science |
ID Code: | 33015 |
Deposited By: | Fazli Masari |
Deposited On: | 31 Jul 2013 05:39 |
Last Modified: | 21 Oct 2018 04:30 |
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