On the fixed field of a generic automorphism
type: Item
instance of: scholarly article
title: On the fixed field of a generic automorphism
zbMATH Open document ID: 0998.03031
author: K. Zh. Kudajbergenov
published in: Siberian Advances in Mathematics
publication date: 2002-10-06T00:00:00Z
review text: The author introduces the notion of almost generic automorphism and studies the fixed field of an almost generic automorphism of a field. This field is proven to be regularly closed in case the initial field is separably closed. In addition, its absolute Galois group is proven to be isomorphic to \(\widehat{\mathbb Z}\).
Mathematics Subject Classification ID: 03C60
Mathematics Subject Classification ID: 12L12
Mathematics Subject Classification ID: 12F10
zbMATH DE Number: 1811328
zbMATH Keywords: almost generic automorphism
zbMATH Keywords: stable field
zbMATH Keywords: separably closed field
reviewed by: Andrei S. Morozov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1811328