49 citations · 164 across the 34 of their papers we have counts for
20 papers · 1 filter
Factoring isometries of quadratic spaces into reflections
Jon McCammond, Giovanni Paolini
Let be a vector space endowed with a non-degenerate quadratic form . If the base field is different from , it is known that every isometry can be…
Boundary Braids
Michael Dougherty, Jon McCammond, Stefan Witzel
The n-strand braid group can be defined as the fundamental group of the configuration space of n unlabeled points in a closed disk based at a configuration where all n points lie i…
A complex euclidean reflection group with an elegant complement complex
Ben Coté, Jon McCammond
The complement of a hyperplane arrangement in deformation retracts onto an -dimensional cell complex, but the known procedures only apply to complexifications of…
The exceptional symmetry
Jon McCammond
This note gives an elementary proof that the symmetric groups possess only one exceptional symmetry. I am referring to the fact that the outer automorphism group of the symmetric g…
Curvature and Computation
Jon McCammond
When undergraduates ask me what geometric group theorists study, I describe a theorem due to Gromov which relates the groups with an intrinsic geometry like that of the hyperbolic…
The infinite cyclohedron and its automorphism group
Ariadna Fossas Tenas, Jon McCammond
Cyclohedra are a well-known infinite familiy of finite-dimensional polytopes that can be constructed from centrally symmetric triangulations of even-sided polygons. In this article…