Trivial source character tables of small finite groups (A18#)

项目的目的是研究和确定有限群的平凡源特征表。特别是，主要目标之一是为开发一个由琐碎的源字符表组成的数据库做出贡献。实现这一目标的方法将包括理论和计算两方面。除其他事项外，它们将涉及使用格林对应，张量积，布劳尔结构和软件GAP计算平凡源模块的普通特征。我们的研究将集中在具有小p局部数据的有限群和李型的小有限群上。获得的表格将通过网络数据库提供。

The aim of the project is the investigation and determination of trivial source character tables of finite groups. In particular, one of the main goals is to contribute to the development of a database of trivial source character tables. The methods to achieve this goal will be both theoretical and computational. They will involve, among other things, the computation of the ordinary characters of trivial source modules using Green correspondence, tensor products, Brauer constructions and the software GAP.Our investigations will focus on finite groups with small p-local data and small finite groups of Lie type. The obtained tables will be made available through a web-database.