On groups of $I$-type and involutive Yang-Baxter groups

Published 23 Mar 2014 in math.GR | (1403.5740v3)

Abstract: We suggest a cohomological framework to describe groups of $I$-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.

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