边界作用的图形小消去和超有限性

IF 1.2 2区数学 Q1 MATHEMATICS

Journal of the London Mathematical Society-Second Series Pub Date : 2026-04-03 DOI:10.1112/jlms.70516

Chris Karpinski, Damian Osajda, Koichi Oyakawa

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引用次数: 0

摘要

研究了（无限呈现的）图形小消去群在锥断Cayley图的Gromov边界上的作用。我们证明了一类图形小抵消群，包括（无限呈现的）经典小抵消群，承认超有限边界作用，更确切地说，它们在锥off Cayley图的边界上诱导出的轨道等价关系是超有限的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Graphical small cancellation and hyperfiniteness of boundary actions

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Graphical small cancellation and hyperfiniteness of boundary actions

We study actions of (infinitely presented) graphical small cancellation groups on the Gromov boundaries of their coned-off Cayley graphs. We show that a class of graphical small cancellation groups, including (infinitely presented) classical small cancellation groups, admit hyperfinite boundary actions, more precisely, the orbit equivalence relation that they induce on the boundaries of the coned-off Cayley graphs is hyperfinite.

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来源期刊

Journal of the London Mathematical Society-Second Series 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

186

审稿时长

6-12 weeks

期刊介绍： The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.