Classification of cyclic braces

被引：56

作者：

Rump, Wolfgang ^{[1
]}

机构：

[1] Univ Stuttgart, Inst Algebra & Zahlentheorie, D-70550 Stuttgart, Germany

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2007年 / 209卷 / 03期

关键词：

D O I：

10.1016/j.jpaa.2006.07.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 l-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). (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：671 / 685

页数：15

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