1 citations · 1 across the 3 of their papers we have counts for
4 papers
Braid groups and Burnside groups
Ethan Dlugie
There exists an exceptional quotient of braid groups that is related to many interesting constructions in algebra, topology, and geomet…
The 3-strand braid group with torsion
Ethan Dlugie, Tahsin Saffat
In the 1950s, H. S. M. Coxeter considered the quotients of braid groups given by adding the relation that all half Dehn twist generators have some fixed, finite order. He found a r…
The Burau representation and shapes of polyhedra
Ethan Dlugie
We use a geometric approach to show that the reduced Burau representation specialized at roots of unity has another incarnation as the monodromy representation of a moduli space of…
On Uniform Large-Scale Volume Growth for the Carnot-Carathéodory Metric on Unbounded Model Hypersurfaces in
Ethan Dlugie, Aaron Peterson
We consider the rate of volume growth of large Carnot-Carathéodory metric balls on a class of unbounded model hypersurfaces in . When the hypersurface has a uniform g…