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.
Abdulqader Mohammed Abdullah Bin Basri, Nor Haniza Sarmin , Nor Muhainiah Mohd Ali and James R. Beuerle, 2012. Computing the Exterior Center of Metacyclic p-groups of Nilpotency Class at Least Three. Journal of Applied Sciences, 12: 1608-1612.