Inverse-closed additive subgroups of fields

Details Inverse-closed additive subgroups of fields Inverse-closed additive subgroups of fields

2005-11-22

arxiv.org/abs/math/0511538v1

Israel J. Math. 159 (2007), 343--348

Mathematics

Rings and Algebras

4 pages

Scientific paper

We describe the additive subgroups of fields which are closed with respect to
taking inverses. In particular, in 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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