2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/165346In this paper we prove that Broue's abelian defect group conjecture holds for the Tits group $^2F_4(2)'$. Also we prove that under certain conditions we are able to lift derived equivalences and use this to prove Broue's conjecture for the group $^2F_4(2)$.23 pagesRepresentation Theorytext