Inverse-closed additive subgroups of fields
Rings and Algebras
2011-11-09 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0511538,
title = {Inverse-closed additive subgroups of fields},
author = {Sandro Mattarei},
journal= {arXiv preprint arXiv:math/0511538},
year = {2011}
}
Comments
4 pages