Showing math.GRShow all
3 papers · 1 filter
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
Density of quotient orders in groups and applications to locally-transitive graphs
Marston Conder, Gabriel Verret, Darius Young
We prove that the set of orders of finite quotients of a finitely generated group has natural density 0, 1/2 or 1, and characterise when each of these cases occurs. We apply this t…
math.GR2024
Soluble quotients of triangle groups
Marston D. E. Conder, Darius W. Young
This paper helps explain the prevalence of soluble groups among the automorphism groups of regular maps (at least for `small' genus), by showing that every non-perfect hyperbolic o…