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 are finite extensions of C, with ramification indices a and b, and B is tamely ramified over C and b divides a, then the compositumAB is an unramified extension of A.
Wikipage redirect
differentFrom
primaryTopic
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 are finite extensions of C, with ramification indices a and b, and B is tamely ramified over C and b divides a, then the compositumAB is an unramified extension of A.
has abstract
In mathematics, Abhyankar's le ...... an unramified extension of A.
@en
Link from a Wikipage to an external page
Wikipage page ID
Wikipage revision ID
742.266.682
hypernym
comment
In mathematics, Abhyankar's le ...... an unramified extension of A.
@en
label
Abhyankar's lemma
@en