5 citations · 6 across the 7 of their papers we have counts for
7 papers
Horocyclic products have Y-posets of hyperbolic structures
Noah Caplinger
A hyperbolic structure on a group is a (not necessarily properly discontinuous) cobounded action of on a Gromov hyperbolic space, considered up to coarsely -equivariant…
Groups acting on horocyclic products
Noah Caplinger, Daniel N. Levitin
Horocyclic products are a well-studied class of metric spaces that provide models for various solvable Lie groups, Baumslag-Solitar groups, and Lamplighter groups. Let act geom…
Solvable Baumslag-Solitar Lattices
Noah Caplinger
The solvable Baumslag Solitar groups each admit a canonical model space, . We give a complete classification of lattices in and fin…
Totally Symmetric Sets
Noah Caplinger, Dan Margalit
We survey the theory of totally symmetric sets, with applications to homomorphisms of symmetric groups, braid groups, linear groups, and mapping class groups.
Large totally symmetric sets
Noah Caplinger
A totally symmetric set is a subset of a group such that every permutation of the subset can be realized by conjugation in the group. The (non-)existence of large totally symmetric…
Totally symmetric sets in the general linear group
Noah Caplinger, Nick Salter
A totally symmetric set is a finite subset of a group for which any permutation of the elements can be realized by conjugation in the ambient group. Such sets are rigid under homom…