3 papers
math.CO2025
Regularity properties of Macbeath-Hurwitz and related maps and surfaces
Gareth A. Jones
The Macbeath-Hurwitz maps of type , obtained from the Hurwitz groups found by Macbeath, are fully regular by a result of Singerman, with automorphis…
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.GR2024
Counting conjugacy classes of subgroups of
Gareth A. Jones
We obtain formulae for the numbers of isomorphism and conjugacy classes of non-identity proper subgroups of the groups , prime, and for the numbers of those c…