Automorphisms and endomorphisms of locally compact groups

局部紧群的自同构和自同态

• 批准号: 387213559
• 负责人: Professor Dr. Helge Glöckner
• 金额: --
• 依托单位: Fachgebiet Unendlich-dimensionale Analysis und Geometrie
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2017
• 资助国家: 德国
• 起止时间: 2016-12-31 至 2019-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/387213559?language=en
• 关键词: Automorphisms; endomorphisms; locally; compact; groups

In recent years, the structure theory of totally disconnected, locally compact groups initiated by George A. Willis in 1994 has led to deep insights into automorphisms and endomorphisms of such groups. On the one hand, the project strives to develop this theory further, i.e., the study of automorphisms and endomorphisms of totally disconnected groups. On the other hand, we shall investigate if (or in which form) the known results from the totally disconnected case can be adapted to more general locally compact groups.

近年来，由乔治·A·威利斯（George A. Willis）于1994年发起的完全断开的本地紧凑型群体的结构理论导致了对这些群体的自动形态和内态性的深刻见解。一方面，该项目努力进一步发展这一理论，即对完全断开群体的自动形态和内态性研究。另一方面，我们将研究（或以哪种形式）完全断开的情况的已知结果适用于更一般的局部紧凑型组。

项目成果

Decompositions of locally compact contraction groups, series and extensions

局部紧收缩群、级数和扩张的分解

• DOI: 10.1016/j.jalgebra.2020.11.007
• 发表时间: 2021
• 期刊: Journal of Algebra
• 影响因子: 0.9
• 作者: Glöckner;G. A. Willis
• 通讯作者: G. A. Willis