8 citations · 20 across the 8 of their papers we have counts for
7 papers · 1 filter
Parabolic Normalizers in Finite Coxeter Groups as Subdirect Products
J. Matthew Douglass, Götz Pfeiffer, Gerhard Roehrle
We revisit the structure of the normalizer of a parabolic subgroup in a finite Coxeter group , originally described by Howlett. Building on Howlett's Lemma, which p…
On the Left Connected Subalgebra of the Descent Algebra of a Coxeter Group of Classical Type
Linus Hellebrandt, Götz Pfeiffer
A Coxeter group of classical type , or contains a chain of subgroups of the same type. We show that intersections of conjugates of these subgroups are again of the…
On the Table of Marks of a Direct Product of Finite Groups
Brendan Masterson, Götz Pfeiffer
We present a method for computing the table of marks of a direct product of finite groups. In contrast to the character table of a direct product of two finite groups, its table of…
On the Complexity of Multiplication in the Iwahori--Hecke Algebra of the Symmetric Group
Alice C. Niemeyer, Götz Pfeiffer, Cheryl E. Praeger
We present new efficient data structures for elements of Coxeter groups of type and their associated Iwahori--Hecke algebras . Usually, elements of are repre…
On the Quiver Presentation of the Descent Algebra of the Symmetric Group
Marcus Bishop, Götz Pfeiffer
We describe a presentation for the descent algebra of the symmetric group $\sym{n}$ as a quiver with relations. This presentation arises from a new construction of the descent alge…
Computing the Table of Marks of a Cyclic Extension
Liam Naughton, Goetz Pfeiffer
The subgroup pattern of a finite groups is the table of marks of together with a list of representatives of the conjugacy classes of subgroups of . In this article we pr…