Approximation approach to ramification theory

2016 ◽  
Vol 27 (6) ◽  
pp. 967-976 ◽  
Author(s):  
I. B. Zhukov ◽  
G. K. Pak
1972 ◽  
Vol 46 ◽  
pp. 97-109
Author(s):  
Susan Williamson

Let k denote the quotient field of a complete discrete rank one valuation ring R of unequal characteristic and let p denote the characteristic of R̅; assume that R contains a primitive pth root of unity, so that the absolute ramification index e of R is a multiple of p — 1, and each Gallois extension K ⊃ k of degree p may be obtained by the adjunction of a pth root.


2021 ◽  
pp. 116055
Author(s):  
Konstantinos Vlachas ◽  
Konstantinos Tatsis ◽  
Konstantinos Agathos ◽  
Adam R. Brink ◽  
Eleni Chatzi

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