3 papers
math.GR2026
Refining invariants of finite groups with class functions
Christopher A. Schroeder
Many numerical invariants of a finite group arise as the multiplicity of the trivial character in a naturally associated class function, and the remaining multiplicities carry fine…
math.GR2025
On the invariants of finite groups arising in a topological quantum field theory
Christopher A. Schroeder, Hung P. Tong-Viet
In this paper, we investigate structural properties of finite groups that are detected by certain group invariants arising from Dijkgraaf--Witten theory, a topological quantum fiel…
math.GR2025
Finite groups whose maximal subgroups have almost odd index
Christopher A. Schroeder, Hung P. Tong-Viet
A recurring theme in finite group theory is understanding how the structure of a finite group is determined by the arithmetic properties of group invariants. There are results in t…