Minimal But Inefficient Presentations Of The Semi-Direct Product Of Finite Cyclic Groups

Fırat Ateş, Sinan Çevik


Let G be a semi-direct product of B by A where B and A are both cyclic groups of order n (n Î N) and p (any prime), respectively. As a main result of this paper, we prove that G has an inefficient but minimal presentation. Then, as an application of this result, we show that a metacyclic group satisfy the main result.

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