On The Largest Character Degree And Solvable Subgroups Of Finite Groups

Zongshu Wu, Yong Yang

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