4 citations · 9 across the 18 of their papers we have counts for
4 papers · 1 filter
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…
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…
Answers to questions about medial layer graphs of self-dual regular and chiral polytopes
Marston Conder, Isabelle Steinmann
An abstract -polytope is a partially-ordered set which captures important properties of a geometric polytope, for any dimension . For even , the incide…
A note on girth-diameter cages
Gabriela Araujo-Pardo, Marston Conder, Natalia García-Colín +2
In this paper, we introduce a problem closely related to the Cage Problem and the Degree Diameter Problem. For integers , and , we define a …