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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 -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 -type when is a Garsi…
math.QA2025
Endocabling of involutive solutions to the Yang-Baxter equation, with an application to solutions whose diagonal is a cyclic permutation
Carsten Dietzel
In this article, we introduce endocabling as a technique to deform involutive, non-degenerate set-theoretic solutions to the Yang-Baxter equation (``solutions'', for short) by mean…