Classification of cyclic braces |
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Authors: | Wolfgang Rump |
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Institution: | Institut für Algebra und Zahlentheorie, Universität Stuttgart, Pfaffenwaldring 57, D-70550 Stuttgart, Germany |
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Abstract: | Etingof, Schedler, and Soloviev have shown P. Etingof, T. Schedler, A. Soloviev, Set-theoretical solutions to the quantum Yang-Baxter equation, Duke Math. J. 100 (1999) 169-209] that T-structures on cyclic groups come from bijective 1-cocycles and thus give rise to solutions of the quantum Yang-Baxter equation. At the end of their paper, they ask for a classification of T-structures on cyclic groups, especially p-groups. We solve the latter problem by means of generalized radical rings (=braces). |
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Keywords: | Primary 81R50 |
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