49 citations · 164 across the 34 of their papers we have counts for
4 papers · 2 filters
The structure of euclidean Artin groups
Jon McCammond
The Coxeter groups that act geometrically on euclidean space have long been classified and presentations for the irreducible ones are encoded in the well-known extended Dynkin diag…
Factoring euclidean isometries
Noel Brady, Jon McCammond
Every isometry of a finite dimensional euclidean space is a product of reflections and the minimum length of a reflection factorization defines a metric on its full isometry group.…
Dual euclidean Artin groups and the failure of the lattice property
Jon McCammond
The irreducible euclidean Coxeter groups that naturally act geometrically on euclidean space are classified by the well-known extended Dynkin diagrams and these diagrams also encod…
Artin groups of euclidean type
Jon McCammond, Robert Sulway
This article resolves several long-standing conjectures about Artin groups of euclidean type. In particular, we prove that every irreducible euclidean Artin group is a torsion-free…