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.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.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…