A survey on endo - trivial modules

Abstract

In this thesis, we investigate endo-trivial modules and their classification endo trivial modules over p-groups. Endo-trivial modules were introduced by Dade [1] and appear naturally in moduler representation theory. Several contributions towards the general aim of classifying those modules have already obtained and the classification of endo-trivial modules was completed in 2004 by Carlson and Thevenaz. Our aim is to see what are the endo-trivials modules over p-groups, especially over abelian groups.