On the solvability of the Lie algebra ${\mathrm{HH}}^1(B)$ for blocks of finite groups

Markus Linckelmann, Jialin Wang

We give some criteria for the Lie algebra ${\mathrm{HH}}^1(B)$ to be solvable, where $B$ is a $p$-block of a finite group algebra, in terms of the action of an inertial quotient of $…