Eden Ketchum

collaborators

3 papers

math.RT2026

The fields generated by character values of linear and unitary groups

Eden Ketchum

For a finite group $G$ , define the field $Q (G) := Q ({χ (g) : χ \in Irr (G), g \in G})$ . In this article we compute generating sets for the fields $…

math.GR2026

Galois action on the principal block and generation of Sylow 3-subgroups

Eden Ketchum, J. Miquel Martínez, Noelia Rizo +1

In this paper, we prove one direction of a conjecture of Navarro-Rizo-Schaeffer Fry-Vallejo positing an algorithm to determine from the character table whether a finite group has $…

math.GR2025

Characters and the Generation of Sylow 3-Subgroups For Almost Simple Groups

Eden Ketchum

Given an almost simple group $A$ , we algorithmically show that the character table of $A$ determines whether or not the Sylow 3-subgroups of $A$ are 2-generated. We show this prope…