On The Largest Character Degree And Solvable Subgroups Of Finite Groups

Zongshu Wu, Yong Yang

Let $G$ be a finite group, and $\pi$ be a set of primes. The $\pi$-core ${\mathbf{O}}_{\pi }(G)$ is the unique maximal normal $\pi$-subgroup of $G$, and $b(G)$ is the largest irreducible charac…