4 citations · 10 across the 10 of their papers we have counts for
12 papers
On the Invariants of the Cohomology of Complements of Coxeter Arrangements
J. Matthew Douglass, Goetz Pfeiffer, Gerhard Roehrle
We refine Brieskorn's study of the cohomology of the complement of the reflection arrangement of a finite Coxeter group . As a result we complete the verification of a conjectur…
Maximal order Abelian subgroups of Coxeter groups
John M. Burns, Goetz Pfeiffer
In this note we give a classification of the Maximal order Abelian subgroups of finite irreducible Coxeter groups. We also prove a Weyl group analogue of Cartan's theorem that all…
Computations for Coxeter arrangements and Solomon's descent algebra III: Groups of rank seven and eight
Marcus Bishop, J. Matthew Douglass, Goetz Pfeiffer +1
In this paper we extend the computations in parts I and II of this series of papers and complete the proof of a conjecture of Lehrer and Solomon expressing the character of a finit…
Integer Sequences Realized by the Subgroup Pattern of the Symmetric Group
Liam Naughton, Goetz Pfeiffer
The subgroup pattern of a finite group is the table of marks of together with a list of representatives of the conjugacy classes of subgroups of . In this article we des…
An Inductive Approach to Coxeter Arrangements and Solomon's Descent Algebra
J. Matthew Douglass, Goetz Pfeiffer, Gerhard Roehrle
In a recent paper we claimed that both the group algebra of a finite Coxeter group as well as the Orlik-Solomon algebra of can be decomposed into a sum of induced one-dimen…
On reflection subgroups of finite Coxeter groups
J. Matthew Douglass, Goetz Pfeiffer, Gerhard Roehrle
Let be a finite Coxeter group. We classify the reflection subgroups of up to conjugacy and give necessary and sufficient conditions for the map that assigns to a reflection…