# Classification of uniconnected involutive solutions of the Yang-Baxter equation with odd size and a Z-group permutation group

@inproceedings{Castelli2021ClassificationOU, title={Classification of uniconnected involutive solutions of the Yang-Baxter equation with odd size and a Z-group permutation group}, author={Marcos Castelli}, year={2021} }

In the first part of this paper, we investigate the retraction of finite uniconnected involutive non-degenerate set-theoretic solutions of the Yang-Baxter equation by means of left braces, giving a precise description in some cases. In the core of the paper, we also use left braces to classify all the uniconnected involutive non-degenerate set-theoretic solutions having odd size and a Z-group permutation group. As an application, we classify all the uniconnected involutive non-degenerate…

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