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

Nir Ben David; Yuval Ginosar

arxiv: 1403.5740 · v3 · pith:RNXEOFFDnew · submitted 2014-03-23 · 🧮 math.GR

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

Nir Ben David , Yuval Ginosar This is my paper

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keywords groupsinvolutiveyang-baxtertypecocyclescohomologicalcriteriondescribe

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

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