Daniel Krashen: Field patching, factorization and local-global principles


Submission: 2009, Sep 16

In this paper we first describe the method of field patching, developed by Harbater and Hartmann, paying special attention to the relationship between factorization and local-global principles, and second, we extend the basic factorization result previously known for rational groups to the case of retract rational groups.

2000 Mathematics Subject Classification: 12E30; 14H05

Keywords and Phrases: field patching, local-global principles, retract rationality

Full text: dvi.gz 53 k, dvi 129 k, ps.gz 926 k, pdf.gz 261 k, pdf 296 k.

Server Home Page