具有同维度 2 水平分布的 5 维 2 步卡诺群的水平可接性

IF 0.4 3区数学 Q4 LOGIC

Algebra and Logic Pub Date : 2024-02-15 DOI:10.1007/s10469-024-09732-7

R. I. Zhukov, A. V. Greshnov

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引用次数: 0

摘要

对于具有 2 维水平分布的 5 维 2 阶卡诺群 G3,2，我们证明了任意两点 u, v∈ G3,2 可以通过最多由三条线段组成的水平折线连接。我们给出了这一结果的多维推广。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Horizontal Joinability on 5-Dimensional 2-Step Carnot Groups with a Codimension 2 Horizontal Distribution

For a 5-dimensional 2-step Carnot group G_3,2 with a codimension 2 horizontal distribution, we prove that any two points u, v ∈ G_3,2 can be joined on it by a horizontal broken line consisting of at most three segments. A multi-dimensional generalization of this result is given.

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来源期刊

Algebra and Logic 数学-数学

CiteScore

1.10

自引率

20.00%

发文量

审稿时长

>12 weeks

期刊介绍： This bimonthly journal publishes results of the latest research in the areas of modern general algebra and of logic considered primarily from an algebraic viewpoint. The algebraic papers, constituting the major part of the contents, are concerned with studies in such fields as ordered, almost torsion-free, nilpotent, and metabelian groups; isomorphism rings; Lie algebras; Frattini subgroups; and clusters of algebras. In the area of logic, the periodical covers such topics as hierarchical sets, logical automata, and recursive functions. Algebra and Logic is a translation of ALGEBRA I LOGIKA, a publication of the Siberian Fund for Algebra and Logic and the Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences. All articles are peer-reviewed.