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math.GR2025
Realizing Gruenberg-Kegel graphs of -solvable groups with structurally simplified extensions of
Lucas Alland, Andrei Fridman, Thomas Michael Keller
Given a finite group , its prime graph (also known as its Gruenberg-Kegel graph) is the graph whose vertices are the prime divisors of and where edges ex…
math.GR2025
Criteria for Classifying Prime Graphs of PSL(2, q)-Solvable Groups
Thomas Michael Keller, Zachary Martin, Alexa Renner +2
For a finite group , the prime graph (also known as Gruenberg-Kegel graph) is defined to be the graph where the vertices are the primes that divide such that two ve…
math.GR2023
Bounding the number of p'-degrees from below
Thomas Keller, Yong Yang
Let be a finite group of order divisible by a prime and let $P\in\Syl_p(G)$. We prove a recent conjecture by Hung stating that $|\Irr_{p'}(G)|\geq \frac{\exp(P/P')-1}{p-1}+…