4 citations · 12 across the 8 of their papers we have counts for
8 papers
Sets of Completely Decomposed Primes in Extensions of Number Fields
Kay Wingberg
We introduce the notion of saturated sets of primes of an algebraic number field and prove an analogue of Riemann's existence theorem for the decomposition groups of infinite stabl…
Corestricted Free Products of Profinite Groups
Jochen Gärtner, Kay Wingberg
We introduce the notion of corestricted free products of a family of profinite groups indexed over an arbitrary profinite space. Using arithmetic results of the second author, this…
On the Theory of Ends of a pro-p Group
Kay Wingberg
We study the group of ends of a pro-p group G and prove a pro-p analog of Stallings' decomposition theorem.
Extensions of profinite duality groups
Alexander Schmidt, Kay Wingberg
We show that the class of profinite duality groups is closed under group extensions provided that the kernel satisfies some finiteness condition. This extends earlier results of Pl…
Demuskin groups with operators
Kay Wingberg
In this paper we consider pro-p Poincaré groups of dimension 2 (so-called Demuskin groups) on which a finite (abelian) group of order prime to p acts. In particular, we are interes…
On Cebotarev sets
Kay Wingberg
In this paper we define a topology with sufficiently good properties on the set of prime ideals of a number field.