Principal and doubly homogeneous quandles
Principal and doubly homogeneous quandles
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主要和双重齐次困境
DOI：
10.1007/s00605-019-01334-1
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发表时间：
2019
期刊：
影响因子：
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通讯作者：
M. Bonatto
中科院分区：
文献类型：
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作者：
M. Bonatto
本文描述了一类主量子点，并证明了连通量子点可以分解为主量子点的不相交并。我们还证明了简单仿射量子是有限的，并且它们可以用几种不同的等价性质来表征，例如双齐次（即具有双传递自同构群）。在Vendramin （J Math Soc Jpn 69（3): 1051-1057, 2017）和Bardakov et al. in Monatsh Math 184(4): 519-530, 2017, Problem 6.7）的基础上，给出了有限双齐次quandle的完整描述。我们还提供了一种独立于Lages和Lopes（具有几个不动点的循环型quandle）的具有几个不动点的连通循环quandle的分类。电子打印学报，2018,39(3):1088 - 1088。
In the paper we describe the class of principal quandles and we show that connected quandles can be decomposed as a disjoint union of principal quandles. We also prove that simple affine quandles are finite and they can be characterized among finite simple quandles by several different equivalent properties, such as for instance being doubly homogeneous (i.e. having a doubly transitive automorphism group). A complete description of finite doubly-homogeneous quandles is provided extending the result of Vendramin (J Math Soc Jpn 69(3):1051–1057, 2017) and solving (Bardakov et al. in Monatsh Math 184(4):519–530, 2017, Problem 6.7). We also provide a classification of connected cyclic quandles with several fixed points independently from Lages and Lopes (Quandles of cyclic type with several fixed points. e-Prints arXiv:1803.10487, 2018).
从 qudle 2-cocycle 获得的表面结不变量
DOI：
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发表时间：
2022
期刊：
影响因子：
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作者：
Minami;R.;Yuta Taniguchi;谷口 雄大;谷口 雄大;谷口 雄大;谷口 雄大;谷口 雄大;Yuta Taniguchi
通讯作者：
Yuta Taniguchi