7 citations · 16 across the 18 of their papers we have counts for
15 papers · 1 filter
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…
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…
A lower bound for the number of odd-degree representations of a finite group
Nguyen Ngoc Hung, Thomas Michael Keller, Yong Yang
Let be a finite group and a Sylow -subgroup of . We obtain both asymptotic and explicit bounds for the number of odd-degree irreducible complex representations of …
Finite Permutation Groups with Few Orbits Under the Action on the Power Set
Alexander Betz, Max Chao-Haft, Ting Gong +3
We study the orbits under the natural action of a permutation group on the powerset . The permutation groups having exactly o…