3 papers
math.GR2025
Non-orientable regular hypermaps of arbitrary hyperbolic type
Gareth A. Jones, Martin MaÄaj, Jozef Å iráÅ
One of the consequences of residual finiteness of triangle groups is that for any given hyperbolic triple there exist infinitely many regular hypermaps of type $(\ell,…
math.GR2025
Non-orientable regular maps with negative prime-power Euler characteristic
Marston Conder, Nick Gill, Jozef Å iráÅ
In this paper we provide a classification of all regular maps on surfaces of Euler characteristic for some odd prime and integer . Such maps are necessarily non-…
math.GR2024
Chiral covers of regular maps of given type
Olivia Reade, Jozef Å iráÅ
With the help of the theory of holomorphic and anti-holomorphic differentials, G. A. Jones [Chiral covers of hypermaps, Ars Math. Contemp. 8 (2015), 425-431] proved that every regu…