Carsten Dietzel

collaborators

4 papers

math.GR2025

How structure groups and monoids grow

Carsten Dietzel, Edouard Feingesicht, Victoria Lebed

The structure groups and monoids of set-theoretic solutions to the Yang-Baxter Equation can be regarded as deformations of free abelian groups resp. monoids. In this work, we obtai…

math.GR2025

Groups of $I_{G}$ -type

Carsten Dietzel

In this work, we address a question posed by Dehornoy et al. in the book "Foundations of Garside Theory" that asks for a theory of groups of $I_{G}$ -type when $G$ is a Garsi…

math.GR2023

Decomposition and Structure theorems for Garside-like groups with modular lattice structure

Carsten Dietzel

Despite being a vast generalization of Garside groups, right $ℓ$ -groups with noetherian lattice structure and strong order unit share a lot of the properties of Garside groups.…

math.QA2023

Indecomposable set-theoretical solutions to the Yang--Baxter equation on a set of size $pq$

Carsten Dietzel, Raul Sastriques Guardiola

Let $p$ and $q$ be different prime numbers. Using recent results of Cedó and Okniński, we describe isomorphism classes of indecomposable set-theoretic solutions to the Yang--Baxter…

How structure groups and monoids grow

Groups of IG​-type

Decomposition and Structure theorems for Garside-like groups with modular lattice structure

Indecomposable set-theoretical solutions to the Yang--Baxter equation on a set of size pq

Groups of $I_{G}$ -type

Indecomposable set-theoretical solutions to the Yang--Baxter equation on a set of size $pq$