Nonorientable regular maps over linear fractional groups
Presented by Martin MAčAJ
Type: Oral presentation
Track: Maps and Symmetries
It is well known that for any given hyperbolic pair $(k,m)$ there exist infinitely many regular maps of valence $k$ and face length $m$ on an orientable surface, with automorphism group isomorphic to a linear fractional group. A nonorientable analogue of this result was known to be true for all pairs $(k,m)$ as above with at least one even entry. In this paper we establish the existence of such regular maps on nonorientable surfaces for all hyperbolic pairs. The material presented is a result of a joint work with Gareth A. Jones and Jozef \v Sir\'a\v n.