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Some applications of metacyclic p-groups of nilpotency class two

Sarmin, N. H. and Beuerle, James R. (2012) Some applications of metacyclic p-groups of nilpotency class two. Research Journal of Applied Sciences, Engineering and Technology, 4 (23). pp. 5217-5221. ISSN 2040-7459

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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. King classified metacyclic p-groups. Beuerle (2005) classified all finite metacyclic p-groups. A group is called capable if it is a central factor group. The purpose of this study is to compute the epicenter of finite nonabelian metacyclic p-groups of nilpotency class two, 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:groups, nonabelian metacyclic p-groups, algorithms
Subjects:Q Science
Divisions:Science
ID Code:47522
Deposited By: Narimah Nawil
Deposited On:22 Jun 2015 13:56
Last Modified:29 Feb 2020 21:19

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