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Inverse-closed additive subgroups of fields

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Abstract

We describe the additive subgroups of fields which are closed with respect to taking inverses, in particular, with characteristic different from two. Any such subgroup is either a subfield or the kernel of the trace map of a quadratic subextension of the field.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università degli Studi di Trento, via Sommarive 14, I-38050, Povo (Trento), Italy

    Sandro Mattarei

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  1. Sandro Mattarei
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Additional information

Partially supported by MIUR-Italy via PRIN 2003018059 “Graded Lie algebras and pro-p-groups: representations, periodicity and derivations”.

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Mattarei, S. Inverse-closed additive subgroups of fields. Isr. J. Math. 159, 343–347 (2007). https://doi.org/10.1007/s11856-007-0050-6

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  • DOI: https://doi.org/10.1007/s11856-007-0050-6

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