Computing the exterior center of metacycli CP-groups of nilpotency class at least three

• Main Authors: Basri, Abdulqader Mohammed Abdullah, Sarmin, Nor Haniza, Mohd. Ali, Nor Muhainiah, Beuerle, James R.
• Format: Article
• Language: English
• Published: 2012
• Subjects: Q Science
• Online Access: http://eprints.utm.my/id/eprint/46726/1/A.M.A.Basri_2012_Computing%20the%20Exterior%20Center%20of%20Metacyclic%20p-groups%20of%20Nilpotency%20Class%20at%20Least%20Three.pdf; http://eprints.utm.my/id/eprint/46726/; http://dx.doi.org/10.3923/jas.2012.1608.1612

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.