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.威利斯在1994年导致深刻的见解，自同构和自同态等群体。一方面，该项目努力进一步发展这一理论，即，研究完全不连通群的自同构和自同态的学科。另一方面，我们将研究是否（或以何种形式）从完全不连通的情况下的已知结果可以适用于更一般的局部紧群。

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