\title{The gluing problem for some fusion systems}

\author{Sejong Park}

\begin{abstract}
We answer the gluing problem of blocks of finite groups~\cite[4.2]{Linckelmann2004} 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 $p \equiv 1\mod 3$.
\end{abstract}