PGL₂(\mathbbF_ℓ) number fields with rational companion forms

2016/11/21 by David P. Roberts, Roberts, David P.
Mathematics · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1611.06628

Abstract

We give a list of PGL₂(\mathbbF_ℓ) number fields for ℓ ≥ 11 which have rational companion forms. Our list has fifty-three fields and seems likely to be complete. Some of the fields on our list are very lightly ramified for their Galois group.

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