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Computing the exterior center of metacycli CP-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 metacycli CP-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: http://dx.doi.org/10.3923/jas.2012.1608.1612

Abstract

A group G is metacyclic if it contains a cyclic normal subgroup K such that G/K is also cyclic. Metacyclic p-groups classified by different 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:Applied sciences
Subjects:Q Science
Divisions:Science
ID Code:46726
Deposited By: Haliza Zainal
Deposited On:22 Jun 2015 13:56
Last Modified:30 Sep 2017 08:51

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