3 papers
math.GT2004
A combination theorem for Veech subgroups of the mapping class group
Christopher J. Leininger, Alan W. Reid
In this paper we prove a combination theorem for Veech subgroups of the mapping class group analogous to the first Klein-Maskit combination theorem for Kleinian groups in which two…
math.GT2000
Generalized Hopfian property, minimal Haken manifold, and J. Simon's conjecture for 3-manifold groups
Alan W. Reid, Shicheng Wang, Qing Zhou
We address a conjecture that -surjective maps between closed aspherical 3-manifolds having the same rank on must be of non-zero degree. The conjecture is proved for Seif…
math.GT1998
The Bianchi groups are subgroup separable on geometrically finite subgroups
Ian Agol, Darren D. Long, Alan W. Reid
We show that for certain arithmetic groups, geometrically finite subgroups are the intersection of finite index subgroups containing them. Examples are the Bianchi groups and the S…