2 problems

Let $\mathcal{O}$ be a complete local noetherian commutative ring with algebraically closed residue field of prime characteristic $p$. Let $G$ be a finite group with $p\mid |G|$, l…

Puig's conjecture. Given a finite $p$-group $P$, there are only finitely many isomorphism classes of interior $P$-algebras that are source algebras of a block of $FG$; here $G$ var…