Realizing Gruenberg-Kegel graphs of $T$-solvable groups with structurally simplified extensions of $T$

Lucas Alland, Andrei Fridman, Thomas Michael Keller

Given a finite group $G$, its prime graph $\Gamma (G)$ (also known as its Gruenberg-Kegel graph) is the graph whose vertices are the prime divisors of $|G|$ and where edges $\{p,q\}$ ex…