Universiti Teknologi Malaysia Institutional Repository

Computing the exterior center of metacyclic p-groups of nilpotency class at least three

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
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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