On n-dependent groups and fields
Logic
2015-10-01 v3
Abstract
First, an example of a 2-dependent group without a minimal subgroup of bounded index is given. Second, all infinite n-dependent fields are shown to be Artin-Schreier closed. Furthermore, the theory of any non separably closed PAC field has the IPn property for all natural numbers n and certain properties of dependent (NIP) valued fields extend to the n-dependent context.
Keywords
Cite
@article{arxiv.1401.4880,
title = {On n-dependent groups and fields},
author = {Nadja Hempel},
journal= {arXiv preprint arXiv:1401.4880},
year = {2015}
}