tamely ramified
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Different ideal — In algebraic number theory, the different ideal (sometimes simply the different) is defined to account for the (possible) lack of duality in the ring of integers of an algebraic number field K, with respect to the field trace. It was introduced… … Wikipedia
Conductor (class field theory) — In algebraic number theory, the conductor of a finite abelian extension of local or global fields provides a quantitative measure of the ramification in the extension. The definition of the conductor is related to the Artin map. Contents 1 Local… … Wikipedia
Hilbert–Speiser theorem — In mathematics, the Hilbert–Speiser theorem is a result on cyclotomic fields, characterising those with a normal integral basis. More generally, it applies to any abelian extension K of the rational field Q . The Kronecker–Weber theorem… … Wikipedia
Hurwitz's theorem — In mathematics, Hurwitz s theorem is any of at least five different results named after Adolf Hurwitz. Hurwitz s theorem in complex analysis In complex analysis, Hurwitz s theorem roughly states that, under certain conditions, if a sequence of… … Wikipedia
Abhyankar's lemma — In mathematics, Abhyankar s lemma (named after Shreeram Shankar Abhyankar) allows one to kill tame ramification by taking an extension of a base field. More precisely, Abhyankar s lemma states that if A , B , C are local fields such that A and B… … Wikipedia
