Noah Caplinger

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math.GR2024

Solvable Baumslag-Solitar Lattices

Noah Caplinger

The solvable Baumslag Solitar groups $BS (1, n)$ each admit a canonical model space, $X_{n}$ . We give a complete classification of lattices in $G_{n} = Isom^{+} (X_{n})$ and fin…

math.GR2024

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.

math.GR2022★ 1 cited

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…