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On a Galois property of fields generated by the torsion of an abelian variety

On a Galois property of fields generated by the torsion of an abelian variety

Abstract In this article, we study a certain Galois property of subextensions of , the minimal field of definition of all torsion points of an abelian variety defined over a number field . Concretely, we show that each subfield of that is Galois over (of possibly infinite degree) and whose …