Browsing 2025 by MSC "20"
Now showing items 1-3 of 3
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On the Complexity of Epimorphism Testing with Virtually Abelian Targets
[OWP-2025-01] (Mathematisches Forschungsinstitut Oberwolfach, 2025-01)Friedl and Löh (2021, Confl. Math.) prove that testing whether or not there is an epimorphism from a finitely presented group to the direct product of an abelian and a finite group, or to a virtually cyclic group, is ... -
Parabolic Normalizers in Finite Coxeter Groups as Subdirect Products
[OWP-2025-10] (Mathematisches Forschungsinstitut Oberwolfach, 2025-09)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 provides canonical complements for reflection ... -
The $q$-Deformed Random-to-Random Family in the Hecke Algebra
[OWP-2025-12] (Mathematisches Forschungsinstitut Oberwolfach, 2025-11)We generalize Reiner-Saliola-Welker's well-known but mysterious family of $k$-random-to-random shuffles from Markov chains on symmetric groups to Markov chains on the Type-$A$ Iwahori-Hecke algebras. We prove that the ...