Direct Products of Free Groups in Aut(FN)

IF 2.4 1区数学 Q1 MATHEMATICS

Geometric and Functional Analysis Pub Date : 2024-08-05 DOI:10.1007/s00039-024-00688-5

Martin R. Bridson, Richard D. Wade

引用次数: 0

Abstract

We give a complete description of the embeddings of direct products of nonabelian free groups into Aut(F_N) and Out(F_N) when the number of direct factors is maximal. To achieve this, we prove that the image of each such embedding has a canonical fixed point of a particular type in the boundary of Outer space.

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Aut(FN) 中自由基的直积

我们完整地描述了当直接因子数最大时，非标注自由群的直接积嵌入 Aut(FN) 和 Out(FN) 的情况。为此，我们证明了每一个这样的嵌入的映像在外层空间的边界上都有一个特定类型的典范定点。

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

Geometric and Functional Analysis 数学-数学

CiteScore

3.70

自引率

4.50%

发文量

审稿时长

6-12 weeks

期刊介绍： Geometric And Functional Analysis (GAFA) publishes original research papers of the highest quality on a broad range of mathematical topics related to geometry and analysis. GAFA scored in Scopus as best journal in "Geometry and Topology" since 2014 and as best journal in "Analysis" since 2016. Publishes major results on topics in geometry and analysis. Features papers which make connections between relevant fields and their applications to other areas.