关于相对计算的边界判据：多端抛物线

IF 0.9 3区数学 Q2 MATHEMATICS

Bulletin of the London Mathematical Society Pub Date : 2025-05-08 DOI:10.1112/blms.70087

Eduard Einstein, Suraj Krishna M S, Thomas Ng

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引用次数: 0

摘要

在这篇笔记中，我们将第一作者和格罗夫斯相对累积的边界准则扩展到外围子群不一定是一端的情况。具体地说，如果边界准则满足于一个相对双曲群，我们表明，直到采取一个精致的外围结构，该群承认一个相对几何作用于CAT(0)立方体复合体。我们预计这种细化将有助于在各种设置中构建新的相对累积。

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On the boundary criterion for relative cubulation: Multiended parabolics

In this note, we extend the boundary criterion for relative cubulation of the first author and Groves to the case when the peripheral subgroups are not necessarily one-ended. Specifically, if the boundary criterion is satisfied for a relatively hyperbolic group, we show that, up to taking a refined peripheral structure, the group admits a relatively geometric action on a CAT(0) cube complex. We anticipate that this refinement will be useful for constructing new relative cubulations in a variety of settings.

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