Residual properties of non-positively curved groups

非正曲群的残差性质

• 批准号: 1992790
• 金额: --
• 依托单位: University of Cambridge
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2017
• 资助国家: 英国
• 起止时间: 2017 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-1992790
• 关键词: Residual; properties; non; positively; curved

I am a researcher in geometric group theory. Actions of groups on geometric objects tell us about properties of the groups. In my PhD project, I attempt to translate properties of free groups and otherhyperbolic groups into the context of non-positively curved groups. Specifically, I would like to explore residual properties such as residual finiteness and subgroup separability.Examples of such problems are:- determine conditions of residual finiteness for a multiple HNN extension of a free group- examine typical finite completion of a pre-cover of a right-angled Artin group.Special cube complexes are particularly useful in this area.

我是几何群论的研究人员。群对几何对象的作用告诉我们关于群的性质。在我的博士项目中，我试图将自由群和其他双曲群的性质转化为非正曲群的背景。具体地说，我想探索剩余性质，如剩余有限和子群可分性。这类问题的例子有：-确定自由群的多重HNN扩张的剩余有限的条件-研究直角Artin群的预覆盖的典型有限完备性。特殊的立方体复形在这一领域特别有用。