3 papers
math.NT2002
A noncommutative Weierstrass preparation theorem and applications to Iwasawa theory
Otmar Venjakob
In this paper and a forthcoming joint one with Y. Hachimori we study Iwasawa modules over an infinite Galois extension K of a number field k whose Galois group G=G(K/k) is isomorph…
math.NT2001
On the Iwasawa theory of p-adic Lie extensions
Otmar Venjakob
In this paper the new techniques and results concerning the structure theory of modules over non-commutative Iwasawa algebras are applied to arithmetic: we study Iwasawa modules ov…
math.NT2001
On the structure theory of the Iwasawa algebra of a p-adic Lie group
Otmar Venjakob
This paper is lead by the question whether there is a nice structure theory of finitely generated modules over the Iwasawa algebra, i.e. the completed group algebra, R of a p-adic…