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2012 (Vol. 4, Issue: 23)
Article Information:

Some Applications of Metacyclic p-Groups of Nilpotency Class Two

Abdulqaer Mohammed Abdullah Bin Basri, Nor Haniza Sarmin, Nor Muhainiah Mohd Ali and James R. Beuerle
Corresponding Author:  Nor Haniza Sarmin 

Key words:  p-groups , metacyclic groups , epicenter and capable groups, , , ,
Vol. 4 , (23): 5217-5221
Submitted Accepted Published
April 25, 2012 May 13, 2012 December 01, 2012
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.
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  Cite this Reference:
Abdulqaer Mohammed Abdullah Bin Basri, Nor Haniza Sarmin, Nor Muhainiah Mohd Ali and James R. Beuerle, 2012. Some Applications of Metacyclic p-Groups of Nilpotency Class Two.  Research Journal of Applied Sciences, Engineering and Technology, 4(23): 5217-5221.
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ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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