On the non-uniqueness of maximal purely wild extensions

Abstract

In this paper, we illustrate certain criteria which are sufficient for a henselian valued field to admit non-isomorphic maximal purely wild extensions.

Keywords:

• Maximal immediate extension
• purely wild ramification
• ramification theory
• valuation

2020 Mathematics Subject Classification:

• 12J20
• 13A18
• 12J25

Acknowledgements

The author is indebted to Franz-Viktor Kuhlmann for his unwavering support, suggestions and helpful comments. He would also like to thank the anonymous referee for pointing out some errors in the manuscript.