Extensions with almost maximal depth of ramification
The authors study finite Abelian extensions \(L\) of complete discretely valued fields \(K\) of characteristic \(0\) with residue class field of prime characteristic \(p> 2\). They say that \(L/K\) has ``almost maximal depth of ramification'' if \([L:K]\) is a divisor of the different \({\mathcal D}_{L/K}\). The main results of the present paper are conditions under which \([L:K]|{\mathcal D}_{L/K}\) is satisfied.
scientific article; zbMATH DE number 1859523