Submission date: 13 January 2016.

Abstract:

In this paper we explore the concept of good heredity for fields from a group theoretic perspective. Extending results from [9], we show that several natural families of fields are of good heredity, and some others are not. We also construct several examples to show that various wishful thinking expectations are not true.

Mathematics Subject Classification: 12E05, 11C08

Keywords and phrases:

Full text arXiv 1601.03424: pdf, ps.