On Lipschitz functions on groups equipped with conjugation-invariant norms

IF 0.4 4区数学 Q4 MATHEMATICS

Colloquium Mathematicum Pub Date : 2023-01-01 DOI:10.4064/cm9173-8-2023

Jarek Kędra

引用次数: 1

Abstract

We observe that a function on a group equipped with a bi-invariant word metric is Lipschitz if and only if it is a partial quasimorphism bounded on a generating set. We also show that an undistorted element is always detected by an antisymmetric homogeneo

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共轭不变范数群上的Lipschitz函数

我们观察到当且仅当具有双不变词度量的群上的函数是有界于生成集上的部分拟同态时，它是Lipschitz函数。我们还证明了一个未变形的元素总是被一个反对称同质子检测到

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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来源期刊

Colloquium Mathematicum MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Colloquium Mathematicum is a journal devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research, interesting new proofs of important theorems and research-expository papers in all fields of pure mathematics. Two issues constitute a volume, and at least four volumes are published each year.