On the Iwasawa theory of p-adic Lie Extensions, by 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 over p-adic
Lie extensions K of number fields k "up to
pseudo-isomorphism". In particular, a close relationship is
revealed between the Selmer group of abelian varieties, the
Galois group of the maximal abelian unramified p-extension of
K as well as the Galois group
of the maximal abelian outside S unramified p-extension
where S is a finite set of certain places of k. Moreover, we
determine the Galois module structure of local units and other
modules arising from Galois cohomology.
Otmar Venjakob <otmar@mathi.uni-heidelberg.de>