Browsing by Author "Pfeiffer, Götz"
Now showing items 1-20 of 30
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A note on element centralizers in finite coxeter groups
Konvalinka, Matjaž; Pfeiffer, Götz; Röver, Claas E. (Walter de Gruyter GmbH, 2011-01-01)The normalizer N(W)(W(J)) of a standard parabolic subgroup W(J) of a finite Coxeter group W splits over the parabolic subgroup with complement N(J) consisting of certain minimal length coset representatives of W(J) in W. ... -
A quiver presentation for solomon's descent algebra
Pfeiffer, Götz (Elsevier BV, 2009-03-01) -
An algorithm for the unit group of the Burnside ring of a finite group
Boltje, Robert; Pfeiffer, Götz (Cambridge University Press, 2007-01)In this note we present an algorithm for the construction of the unit group of the Burnside ring Ω(G) of a finite group G from a list of representatives of the conjugacy classes of subgroups of G. -
An inductive approach to coxeter arrangements and solomon’s descent algebra
Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (Springer Nature, 2011-07-20)In our recent paper (Douglass et al. arXiv: 1101.2075 (2011)), we claimed that both the group algebra of a finite Coxeter group W as well as the Orlik-Solomon algebra of W can be decomposed into a sum of induced one-dimensional ... -
The BMR freeness conjecture for the 2-reflection groups
Marin, Ivan; Pfeiffer, Götz (American Mathematical Society, 2016-10-12)We prove the freeness conjecture of Broue, Malle and Rouquier for the Hecke algebras associated to the primitive complex 2-reflection groups with a single conjugacy class of reflections. -
Cohomology of Coxeter arrangements and Solomon's descent algebra
Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (American Mathematical Society, 2014-06-19)We refine a conjecture by Lehrer and Solomon on the structure of the Orlik-Solomon algebra of a finite Coxeter group W and relate it to the descent algebra of W. As a result, we claim that both the group algebra of W and ... -
Cohomology of coxeter arrangements and solomon’s descent algebra
Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (American Mathematical Society (AMS), 2014-06-19)We refine a conjecture by Lehrer and Solomon on the structure of the Orlik-Solomon algebra of a finite Coxeter group W and relate it to the descent algebra of W. As a result, we claim that both the group algebra of W and ... -
Computations for Coxeter arrangements and Solomon's descent algebra II: Groups of rank five and six
Bishop, Marcus; Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (Elsevier, 2013-01-08)In recent papers we have refined a conjecture of Lehrer and Solomon expressing the character of a finite Coxeter group W acting on the graded components of its Orlik-Solomon algebra as a sum of characters induced from ... -
Computations for Coxeter arrangements and Solomon's descent algebra III: Groups of rank seven and eight
Bishop, Marcus; Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (Elsevier, 2014-11-06)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 finite Coxeter group W acting on the p-th graded ... -
Computations for coxeter arrangements and solomon's descent algebra iii: groups of rank seven and eight
Bishop, Marcus; Matthew Douglass, J.; Pfeiffer, Götz; Röhrle, Gerhard (Elsevier BV, 2015-02-01) -
Computations for Coxeter arrangements and Solomon's descent algebra: Groups of rank three and four
Bishop, Marcus; Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (Elsevier, 2012-06-03)In recent papers we have refined a conjecture of Lehrer and Solomon expressing the characters of a finite Coxeter group W afforded by the homogeneous components of its Orlik-Solomon algebra as sums of characters induced ... -
Computations for coxeter arrangements and solomonʼs descent algebra ii: groups of rank five and six
Bishop, Marcus; Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (Elsevier BV, 2013-03-01) -
Computations for coxeter arrangements and solomonʼs descent algebra: groups of rank three and four
Bishop, Marcus; Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (Elsevier BV, 2013-03-01) -
Computing the table of marks of a cyclic extension
Naughton, L.; Pfeiffer, Götz (American Mathematical Society, 2012-02-24)The subgroup pattern of a finite group C is the table of marks of G together with a list of representatives of the conjugacy classes of subgroups of G. In this article we present an algorithm for the computation of the ... -
Distributive coset graphs of finite coxeter groups
Pfeiffer, Götz; Röhrle, Gerhard (Walter de Gruyter GmbH, 2003-01-27)Let W be a finite Coxeter group, W-J a parabolic subgroup of W and X-J the set of distinguished coset representatives of W-J in W equipped with the induced weak Bruhat ordering of W. All instances when X-J is a distributive ... -
Finding possible permutation characters
Breuer, Thomas; Pfeiffer, Götz (Elsevier BV, 1998-09-01) -
An inductive approach to Coxeter arrangements and Solomon's descent algebra
Dolan, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (Springer Verlag, 2012-07-20)In our recent paper (Douglass et al. arXiv: 1101.2075 (2011)), we claimed that both the group algebra of a finite Coxeter group W as well as the Orlik-Solomon algebra of W can be decomposed into a sum of induced one-dimensional ... -
A note on element centralizers in finite Coxeter groups
Konvalinka, Matjaž; Pfeiffer, Götz; Röver, Claas E. (De Gruyter, 2011-08-29)The normalizer N-W(W-J) of a standard parabolic subgroup W-J of a finite Coxeter group W splits over the parabolic subgroup with complement N-J consisting of certain minimal length coset representatives of W-J in W. In ... -
On reflection subgroups of finite Coxeter groups
Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (Taylor & Francis, 2013-06-14)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 subgroup R of W the conjugacy class of its ... -
On reflection subgroups of finite coxeter groups
Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (Informa UK Limited, 2013-05-28)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 subgroup R of W the conjugacy class of its ...