On the Matching Density of Icosahedral and Tetrahederal Representations
Abstract
The matching density of two Galois Representations ρ and η is the Dirichlet density of the set of finite places where ρ and η are unramified and the traces of Frobenius of ρ and η are equal. Using matching density, we can quantify the similarity of two Galois representations. In this paper, we find sharp upper bounds for the matching density of certain pairs of tetrahedral and icosahedral representations.
Fields of Study & Subjects
Advanced Algebra and Geometry
Analytic Number Theory Research
Finite Group Theory Research
Publication details
- Journal / source
- The PUMP Journal of Undergraduate Research
- Volume
- 9
- Pages
- 1–16
- Publication date
- 10 January 2026