On groups of $I$-type and involutive Yang-Baxter groups
Group Theory
2018-11-01 v3
Abstract
We suggest a cohomological framework to describe groups of -type and involutive Yang-Baxter groups. These groups are key in the study of involutive non-degenerate set-theoretic solutions of the quantum Yang-Baxter equation. Our main tool is a lifting criterion for 1-cocycles, established here in a general non-abelian setting.
Keywords
Cite
@article{arxiv.1403.5740,
title = {On groups of $I$-type and involutive Yang-Baxter groups},
author = {Nir Ben David and Yuval Ginosar},
journal= {arXiv preprint arXiv:1403.5740},
year = {2018}
}
Comments
The original proof of Theorem 4.3 contained an error. The theorem is now attributed to F. Cedo, E. Jespers and J. Okninski