一个小消去定理的介绍

Q4 Mathematics

Confluentes Mathematici Pub Date : 2020-05-12 DOI:10.5802/cml.73

St'ephane Lamy, Anne Lonjou

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引用次数: 0

摘要

这篇文章旨在介绍Dahmani, Guirardel, Osin和Cantat, Lamy之前的两部作品。给出了作用于简单树的群的一个小消去定理的两个证明。讨论了在任意地域上平面多项式自同构群中的应用。

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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Introduction to a small cancellation theorem

This note is intended as an introduction to two previous works respectively by Dahmani, Guirardel, Osin, and by Cantat, Lamy. We give two proofs of a Small Cancellation Theorem for groups acting on a simplicial tree. We discuss the application to the group of plane polynomial automorphisms over any ground field.

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来源期刊

Confluentes Mathematici Mathematics-Mathematics (miscellaneous)

CiteScore

0.60

自引率

0.00%

发文量

期刊介绍： Confluentes Mathematici is a mathematical research journal. Since its creation in 2009 by the Institut Camille Jordan UMR 5208 and the Unité de Mathématiques Pures et Appliquées UMR 5669 of the Université de Lyon, it reflects the wish of the mathematical community of Lyon—Saint-Étienne to participate in the new forms of scientific edittion. The journal is electronic only, fully open acces and without author charges. The journal aims to publish high quality mathematical research articles in English, French or German. All domains of Mathematics (pure and applied) and Mathematical Physics will be considered, as well as the History of Mathematics. Confluentes Mathematici also publishes survey articles. Authors are asked to pay particular attention to the expository style of their article, in order to be understood by all the communities concerned.