Algebraic models for non-simply connected manifolds

非简连通流形的代数模型

• 批准号: 1916669
• 金额: --
• 依托单位: University College London
• 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-1916669
• 关键词: Algebraic; models; non; simply; connected

Research Area: AlgebraWe consider closed manifolds M of dimension n > 4 having fundamental group G and whose universal coverings highly connected in the sense of Wall. When the fundamental group is trivial such manifolds were classified by Wall and, in the case n = 5, by Barden. We consider the extent to which a corresponding classification can be achieved when G is a finite metacyclic group.

研究区域：代数考虑n> 4的封闭歧管M具有基本的G组，并且其通用覆盖物在壁意义上高度连接。当基本群体是微不足道的时候，此类歧管是通过墙分类的，在n = 5的情况下，Barden。我们考虑当G是有限的MetacyClic组时可以实现相应分类的程度。

项目成果

A cancellation theorem for modules over integral group rings

• DOI: 10.1017/s0305004120000237
• 发表时间: 2018-07
• 期刊: Mathematical Proceedings of the Cambridge Philosophical Society
• 影响因子: 0.8
• 作者: John Nicholson

On CW-complexes over groups with periodic cohomology

• DOI: 10.1090/tran/8411
• 发表时间: 2019-05
• 期刊: Transactions of the American Mathematical Society
• 影响因子: 1.3
• 作者: John Nicholson