3 papers
math.GR2026
Visualizing conjugation in affine Coxeter groups
Amy Herron, Anne Thomas
Affine Coxeter groups are fundamental objects in mathematics and in crystallography. If two group elements are conjugate, then they have very similar algebraic and geometric proper…
math.GR2025
Triangle Presentations Encoded by Perfect Difference Sets
Amy Herron
When James Singer exhibited projective planes for all prime power orders in 1938, he realized these using the trace function of cubic extensions of a finite field and linked trace=…
math.GR2025
The Deligne Complex for the Artin Group
Katherine Goldman, Amy Herron
We show that the piecewise Euclidean Moussong metric on the Deligne complex of the Artin group of type is . We do this by establishing a criteria for a compl…