Principal $2$-Blocks and Sylow $2$-Subgroups

A. A. Schaeffer Fry, Jay Taylor

Let $G$ be a finite group with Sylow $2$-subgroup $P⩽G$. Navarro-Tiep-Vallejo have conjectured that the principal $2$-block of $N_G(P)$ contains exactly one irreducible B…