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Moshe Jarden and Elad Paran
Galois theory over integral Tate algebras view print
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| Published: |
June 3, 2012 |
| Keywords: |
Galois theory, Tate algebras, semi-free profinite groups, ample fields, Krull fields, Hilbertian fields |
| Subject: |
12E30 |
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Abstract
We prove that if F is the quotient field of an integral
Tate algebra over a complete nonarchimedean absolute valued field
K, then Gal(F) is semi-free.
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| Acknowledgements
Research supported by the Minkowski Center for Geometry at Tel Aviv University, established by the Minerva Foundation, and by an ISF grant.
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| Author information
Moshe Jarden:
School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, Tel Aviv 69978
jarden@math.tau.ac.il
Elad Paran:
Mathematics Department, The Open University of Israel, Raanana 43107, Israel
paranela@post.tau.ac.il
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