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arXiv · 2608.08854

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

Bruno Aguiló-Vidal·Luis Arenas-Carmona·Matías Saavedra-Lagos
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Abstract

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.

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Bruno Aguiló-Vidal, Luis Arenas-Carmona, Matías Saavedra-Lagos. 2026-08-09. On some representations of Metacyclic groups whose integral forms can be computed from a single residual representation. https://arxiv.org/abs/2608.08854

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