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Inverse-closed additive subgroups of fields

环与代数 2011-11-09 v1

摘要

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.

关键词

引用

@article{arxiv.math/0511538,
  title  = {Inverse-closed additive subgroups of fields},
  author = {Sandro Mattarei},
  journal= {arXiv preprint arXiv:math/0511538},
  year   = {2011}
}

备注

4 pages