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 automorphism groups $SL_2(3)$, the special linear group of order 24. and $Q_8$. the quaternion group of order 8. We also determine the reflexibility of these covering.