Stabilization in non-abelian Iwasawa theory

Andrea Bandini, and Fabio Caldarola. "Stabilization in non-abelian Iwasawa theory." Acta Arithmetica 169.4 (2015): 319-329. <http://eudml.org/doc/279310>.

@article{AndreaBandini2015,
abstract = {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).},
author = {Andrea Bandini, Fabio Caldarola},
journal = {Acta Arithmetica},
keywords = {Iwasawa theory; class groups; stabilization; lower central series},
language = {eng},
number = {4},
pages = {319-329},
title = {Stabilization in non-abelian Iwasawa theory},
url = {http://eudml.org/doc/279310},
volume = {169},
year = {2015},
}

TY - JOUR
AU - Andrea Bandini
AU - Fabio Caldarola
TI - Stabilization in non-abelian Iwasawa theory
JO - Acta Arithmetica
PY - 2015
VL - 169
IS - 4
SP - 319
EP - 329
AB - 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).
LA - eng
KW - Iwasawa theory; class groups; stabilization; lower central series
UR - http://eudml.org/doc/279310
ER -