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arXiv · 2102.07928

Ramification groups of some finite Galois extensions of maximal nilpotency class over local fields of positive characteristic

Koto Imai
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Abstract

We examine the ramification groups of finite Galois extensions over complete discrete valuation fields of equal characteristic $p>0$. Brylinski (1983) calculated the ramification groups in the case where the Galois groups are abelian. We extend the results of Brylinski to some non-abelian cases where the Galois groups are of order $\leq p^{p+1}$ and of maximal nilpotency class.

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Koto Imai. 2021-02-16. Ramification groups of some finite Galois extensions of maximal nilpotency class over local fields of positive characteristic. https://doi.org/10.1007/s00229-025-01664-5

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