Author: Miles Holloway Institution: Mathematical Institute, Oxford UK Two papers both essentially doing the same thing. One is my thesis - the file is called Thv2.dvi Other is a preprint of part of my thesis - file called Calcj2.dvi For my thesis - title is "Derived equivalences for group algebras" In it I prove Broue's conj for the non-principal block of kSL(2,p^2). In addition I prove Broue's conjecture with the aid of MAGMA for the principal blocks of J2, U_3(4) and Sp4(4) and also for the non-principal block of full defect of 2.J2 - all over k with char(k)=5. For my preprint with title "Broue's conjecture for the Hall-Janko group and its double cover" - I leave out the non-principal block of SL(2,p^2) and just concentrate on the other cases of my thesis. The preprint has an abstract and I have submitted it to the LMS (but I will have to chase them up about it as I've not heard from them for some time) Both were written while still a PhD student at Bristol University under Jeremy Rickard.