Abelian coverings of regular hypermaps of types {4,4,4} and {3,3,4} of genus 2

Abstract

In this paper. we obtain elementary abelian coverings of the regular hypermaps of genus 2 corresponding to the orientation-preserving automorphisın groups .$L2(3 ), the speciai linear group of order 24. and OK . the quaternion group of order 8. We also determine the reflexibility of these coverings.