Comparing direct limit and inverse limit of even $K$-groups in multiple ${\mathbb{Z}}_p$-extensions

Abstract

Iwasawa first established a duality relating the direct limit and the inverse limit of class groups in a ${\mathbb{Z}}_p$-extension, and this result has recently been extended to multiple ${\mathbb{Z}}_p$-extensions by many authors. In this paper, we establish an analogous duality for the direct limit and the inverse limit of higher even $K$-groups in a ${\mathbb{Z}}_p^d$-extension.

15 pages

References in corpus (1)

• On the growth of even $K$-groups of rings of integers in $p$-adic Lie extensions

Cited by in corpus (1)

• Non-commutative Iwasawa theory of abelian varieties over global function fields