3 citations · 5 across the 3 of their papers we have counts for
3 papers
math.RA2005★ 3 cited
Class field theory for strictly quasilocal fields with Henselian discrete valuations
I. D. Chipchakov
The paper establishes a relationship between finite separable extensions and norm groups of strictly quasilocal fields with Henselian discrete valuations, which yields a generally…
math.NT2005
On the Divisibility of Class Numbers of Cubic Number Fields with Discriminants in a Prescribed Rational Quadratic Class
Ivan Chipchakov, Kalin Kostadinov
Let n be an odd number and F an imaginary quadratic field with odd discriminant. We show that there exists infinitely many cubic fields K such that the class number of K is divisib…
math.RA2005★ 2 cited
On the scope of validity of the norm limitation theorem in one-dimensional abstract local class field theory
I. D. Chipchakov
Let be a field, a finite separable extension of , and the maximal abelian subextension of in . The main result of this paper shows that the norm grou…