3 papers
math.GR2025
Non-orientable regular hypermaps of arbitrary hyperbolic type
Gareth A. Jones, Martin Mačaj, Jozef Širáň
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 Širáň
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 Širáň
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…