8 problems

Let $B$ be a non-exceptional Hurwitz biset, and let $B^*$ denote its associated semigroup of elements. An element of $B^*$ is unobstructed if it has no Thurston obstruction. Conver…

Let $b$ be a block of a finite group with defect group $\mathtt{D}$, block algebra $\mathcal B$, block fusion system $\mathcal F_\mathtt{D}(b)$, and source algebra…

Let $b$ be a block of a finite group with defect group $\mathtt{D}$, block fusion system $\mathcal F_\mathtt{D}(b)$, and source algebra $\mathcal S$. For each fusion-system isomorp…

Let $b$ be a block of a finite group with defect group $\mathtt{D}$, block fusion system $\mathcal F_\mathtt{D}(b)$, and source algebra $\mathcal S$. Let $X$ be a…

Let $\mathcal F$ be a saturated fusion system on a finite $p$-group $S$, let $\Omega=\Lambda_{\mathcal F}$ be its minimal characteristic biset, and let $P\leq S$ and…

Let $\mathcal F$ be a saturated fusion system on a finite $p$-group $S$, let $\Lambda_{\mathcal F}$ be its minimal characteristic biset, and let $P\leq S$ be fully $K$-normalized f…

Let $\mathcal F$ be a saturated fusion system on a finite $p$-group $S$, and let $\Lambda_{\mathcal F}$ denote its minimal characteristic biset. For $P\leq S$, write…

Let $\mathcal{F}$ be a saturated fusion system on a finite $p$-group $S$. Let $R$ and $T$ be subgroups of $S$ such that $S=RT$, and let $\mathcal{H}$ and $\mathcal{K}$ be saturated…