A THESIS ON BLOCK THEORY FOR FINITE GROUPS
Devjani Basu · OpenSIUC (Southern Illinois University Carbondale) · 2020
In this thesis, we relate the ordinary representation of a finite group, i.e. a representation over a field of characteristic $0$ to a representation over a field with characteristic $p$, called the modular representations, as, in the simplest of the sense, they are obtatined by reduction mod $p$. We are particularly interested in the situation, when $p$ divides the order of the group. This leads to the study of Brauer characters, decomposition matrix and eventually {\sl blocks} and its properties, along with a few enticing open conjectures related to blocks.