4 papers
Circular sets of prime numbers and p-extension of the rationals
Alexander Schmidt
Let p be an odd prime number and let S be a finite set of prime numbers congruent to 1 modulo p. We prove that the group G_S(Q)(p) has cohomological dimension 2 if the linking diag…
Relative K-theory and class field theory for arithmetic surfaces
Alexander Schmidt
In this paper we extend the unramified class field theory for arithmetic surfaces of K. Kato and S. Saito to the relative case. Let X be a regular proper arithmetic surface and let…
Tame coverings of arithmetic schemes
Alexander Schmidt
We extend the notion of a tame covering of a pair (X,D) where X is a regular scheme and D is a normal crossing divisor (cf. SGA1), to pairs (X,Y) where X is an arbitrary scheme and…
Safarevic's theorem on solvable groups as Galois groups
Alexander Schmidt, Kay Wingberg
In this paper we present a complete proof of I.R.Safarevic's famous theorem that every finite solvable group occurs as a Galois group over Q.