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- Brookhaven National LaboratoryUS127 papers
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6 papers · 1 filter
Cofinitely Hopfian groups, open mappings and knot complements
Martin R. Bridson, Daniel Groves, Jonathan A. Hillman +1
A group is defined to be cofinitely Hopfian if every homomorphism whose image is of finite index is an automorphism. Geometrically significant groups enjoying this prop…
The quadratic isoperimetric inequality for mapping tori of free group automorphisms
Martin R. Bridson, Daniel Groves
If F is a finitely generated free group and ϕis an automorphism of F then F \rtimes_ϕZ satisfties a quadratic isoperimetric inequality.
Detecting free splittings in relatively hyperbolic groups
Francois Dahmani, Daniel Groves
We describe an algorithm which determines whether or not a group which is hyperbolic relative to abelian groups admits a nontrivial splitting over a finite group.
Quasi-actions on trees II: Finite depth Bass-Serre trees
Lee Mosher, Michah Sageev, Kevin Whyte
This paper addresses questions of quasi-isometric rigidity and classification for fundamental groups of finite graphs of groups, under the assumption that the Bass-Serre tree of th…
Automata and Square Complexes
Yair Glasner, Shahar Mozes
We introduce a new geometric tool for analyzing groups of finite automata. To each finite automaton we associate a square complex. The square complex is covered by a product of two…
Topological groups of Kac-Moody type, Fuchsian twinnings and their lattices
Bertrand Remy, Mark Ronan
This paper deals with a class of totally disconnected groups acting on buildings, among which are certain Kac-Moody groups. The apartments of our buildings are hyperbolic planes ti…