Let K/k be a ℤₚ-extension of a number field k, and denote by kₙ its layers. We prove some stabilization properties for the orders and the p-ranks of the higher Iwasawa modules arising from the lower central series of the Galois group of the maximal unramified pro-p-extension of K (resp. of the kₙ).
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-aa169-4-2,
author = {Andrea Bandini and Fabio Caldarola},
title = {Stabilization in non-abelian Iwasawa theory},
journal = {Acta Arithmetica},
volume = {168},
year = {2015},
pages = {319-329},
zbl = {1331.11098},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa169-4-2}
}
Andrea Bandini; Fabio Caldarola. Stabilization in non-abelian Iwasawa theory. Acta Arithmetica, Tome 168 (2015) pp. 319-329. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa169-4-2/