4 problems

Let $B$ be a unipotent block of $kG$ with cyclic defect groups, and let $B'$ be its Brauer correspondent. Let $\pi_{\kappa/d}$ be the perversity function defined from the generic d…

Let $\chi_1,\dots,\chi_s$ be the unipotent ordinary characters in a unipotent $\ell$-block $B$ of $kG$ with abelian defect group. Let $B'$ be the Brauer correspondent of $B$, and l…

Let $\ell\neq p$ be primes, let $q$ be a power of $p$, let $d$ be the multiplicative order of $q$ modulo $\ell$, and let $G=G(q)$ be a finite group of Lie type with abelian Sylow…

Let $G=\b G^F$ be a finite group of Lie type, let $B$ be a unipotent $\ell$-block with abelian defect group, let $b$ be its Brauer correspondent, and let $Y$ be the associated Deli…