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