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Totally ramified extensions
*October 23, 2009*

*Posted by Akhil Mathew in algebra, algebraic number theory, number theory.*

Tags: discrete valuation rings, Eisenstein polynomials, ramification, totally ramified extensions

6 comments

Tags: discrete valuation rings, Eisenstein polynomials, ramification, totally ramified extensions

6 comments

Today we consider the case of a totally ramified extension of local fields , with residue fields —recall that this means . It turns out that there is a similar characterization as for unramified extensions. (more…)