The gluing problem for some block fusion systems

Abstract

We answer the gluing problem of blocks of finite groups (Linckelmann (2004) [7, 4.2]) for tame blocks and the principal p-block of PSL 3 ( p ) for p odd. In particular, we show that the gluing problem for the principal p-block of PSL 3 ( p ) does not have a unique solution when p ¿ 1 mod 3.