Categories of modules for profinite groups.

研究一个群体的一个由来已久的方法是研究它的模块。这在有限群的情况下发展得最好，但模也被研究用于无限群，现在人们很好地理解，通过研究这些模的各种范畴及其子范畴可以获得大量的信息。对于拓扑组，必须考虑拓扑，并且不完全清楚哪些模块是最好的研究类型。这个项目涉及准有限群的具体情况，它是无限群，但具有通常给予它们类似于有限群的性质的拓扑。它的目的是为有限群的模建立一个范畴框架，使之与离散无限群的模平行。该项目属于EPSRC代数学研究领域。

A long-established method of studying a group is to study its modules. This is most developed in the case of finite groups, but modules are also studied for infinite groups and it is now well understood that a great deal of information can be obtained by studying various categories of these modules and their subcategories. For a topological group, the topology must be taken into account and it is not entirely clear which are the best types of modules to study. This project concerns the specific case of profinite groups, which are infinite groups but with a topology that often gives them properties similar to those of finite groups. It aims to set up a categorical framework for modules for profinite groups that parallels that for discrete infinite groups. The project lies within the EPSRC research area of Algebra.