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
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