arXiv subjects

Matías Saavedra-Lagos

Publications and source records attributed to Matías Saavedra-Lagos.

2 recordsLinked to original sources

arXiv2026

On some representations of Metacyclic groups whose integral forms can be computed from a single residual representation

In a previous work we computed the number of integral forms, over its field of definition, of an irreducible representation of a dihedral group. Here we apply the theory of Bruhat-Tits buildings to give similar formulas for a wider family of metacyclic groups that have representations of arbitrarily large dimension. Occasionally, these formulas can be extended to groups containing a subgroup in that family.

math.NT↗

arXiv2025

Two dimensional integral representations via branches of the Bruhat-Tits tree

We apply the theory of branches in Bruhat-Tits trees, developed in previous works by the second author and others, to the study of two dimensional representations of finite groups over the ring of integers of a number field. We provide a general strategy to perform these computations, and we give explicit formulas for some particular families.

math.NT↗