J. Douglass

activity

20062025

most citedComputations for Coxeter arrangements and Solomon's descent algebra II: Groups of rank five and six

4 citations · 5 across the 11 of their papers we have counts for

collaborators

Showing math.GRShow all

2 papers · 1 filter

math.GR2025

Parabolic Normalizers in Finite Coxeter Groups as Subdirect Products

J. Matthew Douglass, Götz Pfeiffer, Gerhard Roehrle

We revisit the structure of the normalizer $N_{W} (P)$ of a parabolic subgroup $P$ in a finite Coxeter group $W$ , originally described by Howlett. Building on Howlett's Lemma, which p…

math.GR2011

On reflection subgroups of finite Coxeter groups

J. Matthew Douglass, Goetz Pfeiffer, Gerhard Roehrle

Let $W$ be a finite Coxeter group. We classify the reflection subgroups of $W$ up to conjugacy and give necessary and sufficient conditions for the map that assigns to a reflection…