Abstract
Following (Pop, 2010), we generalize and strengthen Theorem 5.11.3 and prove that the absolute Galois group of a Noetherian domain which is complete with respect to a prime ideal of height at least 2 is semi-free (Theorem 12.4.3).
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References
F. Pop, Henselian implies large, Annals of Mathematics 172 (2010), 101–113
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© 2011 Springer-Verlag Berlin Heidelberg
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Jarden, M. (2011). Complete Noetherian Domains. In: Algebraic Patching. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15128-6_12
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DOI: https://doi.org/10.1007/978-3-642-15128-6_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-15127-9
Online ISBN: 978-3-642-15128-6
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