具有非等边内自变群的均质曲

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Algebra Pub Date : 2024-09-17 DOI:10.1016/j.jalgebra.2024.09.004

Takuya Saito , Sakumi Sugawara

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引用次数: 0

摘要

在本文中，我们给出了具有非等边内自变群的均质 quandle 的特征。特别是，我们证明了这样的 quandle 可以表示为微不足道的 quandle 的无边扩展。我们的构造是对 Furuki 和 Tamaru 的最新研究成果的推广，后者给出了断开的平面 quandle 的构造。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Homogeneous quandles with abelian inner automorphism groups

In this paper, we give a characterization of homogeneous quandles with abelian inner automorphism groups. In particular, we show that such a quandle is expressed as an abelian extension of a trivial quandle. Our construction is a generalization of the recent work by Furuki and Tamaru, which gives a construction of disconnected flat quandles.

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来源期刊

Journal of Algebra 数学-数学

CiteScore

1.50

自引率

22.20%

发文量

414

审稿时长

2-4 weeks

期刊介绍： The Journal of Algebra is a leading international journal and publishes papers that demonstrate high quality research results in algebra and related computational aspects. Only the very best and most interesting papers are to be considered for publication in the journal. With this in mind, it is important that the contribution offer a substantial result that will have a lasting effect upon the field. The journal also seeks work that presents innovative techniques that offer promising results for future research.