7 citations · 16 across the 18 of their papers we have counts for
20 papers
Abelian quotients and the largest orbit sizes of linear groups of odd order
Thomas Michael Keller
Let be a finite nonabelian group of odd order, let be the smallest prime divisor of , and let be a finite faithful completely reducible -module, possibly of mix…
The Prime Graphs of Groups With Arithmetically Small Composition Factors
Timothy J. Edwards, Thomas Michael Keller, Ryan M. Pesak +1
We continue the study of prime graphs of finite groups, also known as Gruenberg-Kegel graphs. The vertices of the prime graph of a finite group are the prime divisors of the group…
A classification of prime graphs of pseudo-solvable groups
Ziyu Huang, Thomas Michael Keller, Shane Kissinger +3
The prime graph of a finite group (also known as the Gruenberg-Kegel graph) has as its vertices the prime divisors of , and is an edge in if and o…
On the Generation, Structure, and Symmetries of Minimal Prime Graphs
Ziyu Huang, Thomas Michael Keller, Shane Kissinger +2
In this paper we continue the study of prime graphs of finite solvable groups. The prime graph, or Gruenberg-Kegel graph, of a finite group G has vertices consisting of the prime d…
The Prime Graphs of Some Classes of Finite Groups
Chris Florez, Jonathan Higgins, Kyle Huang +3
In this paper we study prime graphs of finite groups. The prime graph of a finite group , also known as the Gruenberg-Kegel graph, is the graph with vertex set {primes dividing…
Minimal Prime Graphs of Solvable Groups
Chris Florez, Jonathan Higgins, Kyle Huang +2
We explore graph theoretical properties of minimal prime graphs of finite solvable groups. In finite group theory studying the prime graph of a group has been an important topic fo…