具有极大类的p8阶群和幂零李环

IF 0.7 4区数学 Q2 MATHEMATICS Experimental Mathematics Pub Date : 2021-09-09 DOI:10.1080/10586458.2022.2062074

Seungjai Lee, M. Vaughan-Lee

引用次数: 2

摘要

我们对p阶幂零李环进行了分类，当p≥5时具有极大类。通过Lazard对应给出了p阶群在p≥11时具有极大类的分类。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

The Groups and Nilpotent Lie Rings of Order p8 with Maximal Class

We classify the nilpotent Lie rings of order p with maximal class for p ≥ 5. This also provides a classification of the groups of order p with maximal class for p ≥ 11 via the Lazard correspondence.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Experimental Mathematics 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Experimental Mathematics publishes original papers featuring formal results inspired by experimentation, conjectures suggested by experiments, and data supporting significant hypotheses. Experiment has always been, and increasingly is, an important method of mathematical discovery. (Gauss declared that his way of arriving at mathematical truths was "through systematic experimentation.") Yet this tends to be concealed by the tradition of presenting only elegant, fully developed, and rigorous results. Experimental Mathematics was founded in the belief that theory and experiment feed on each other, and that the mathematical community stands to benefit from a more complete exposure to the experimental process. The early sharing of insights increases the possibility that they will lead to theorems: An interesting conjecture is often formulated by a researcher who lacks the techniques to formalize a proof, while those who have the techniques at their fingertips have been looking elsewhere. Even when the person who had the initial insight goes on to find a proof, a discussion of the heuristic process can be of help, or at least of interest, to other researchers. There is value not only in the discovery itself, but also in the road that leads to it.

期刊最新文献

On the Cohomology of GL2 and SL2 over Imaginary Quadratic Fields Lebesgue Constants for Cantor Sets Conjectures for Cutting Pizza with Coxeter Arrangements Polytopality of Simple Games Zeros of Fractional Derivatives of Polynomials