Presantations for regular unbranched $C_p$ -coverings of a Klein bottle

Abstract

In this paper, we obtain presentations for the non-equivalent regular unbranched $C_p$ -coverings of a Klein Bottle by using the Reidemeister-Schreier method, where $C_p=<a\mid a^p=1> $ is a cyclic group of order p (p is a prime).