Automorphism towers and automorphism groups of fields without Choice
Logic
2011-11-18 v5
Abstract
This paper can be viewed as a continuation of [KS09] that dealt with the automorphism tower problem without Choice. Here we deal with the inequation which connects the automorphism tower and the normalizer tower without Choice and introduce a new proof to a theorem of Fried and Koll\'ar that any group can be represented as an automorphism group of a field. The proof uses a simple construction: working more in graph theory, and less in algebra.
Keywords
Cite
@article{arxiv.1004.1810,
title = {Automorphism towers and automorphism groups of fields without Choice},
author = {Itay Kaplan and Saharon Shelah},
journal= {arXiv preprint arXiv:1004.1810},
year = {2011}
}