Geodesic
Stabilization in non-abelian Iwasawa theory
Andrea Bandini 1   ; Fabio Caldarola 2
1 Dipartimento di Matematica e Informatica Università degli Studi di Parma Parco Area delle Scienze, 53/A 43124 Parma (PR), Italy
2 Dipartimento di Matematica e Informatica Università della Calabria via P. Bucci, Cubo 31B 87036 Arcavacata di Rende (CS), Italy
Acta Arithmetica, Tome 169 (2015) no. 4, pp. 319-329 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let $K/k$ be a $\mathbb {Z}_p$-extension of a number field $k$, and denote by $k_n$ 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 $k_n$).
DOI : 10.4064/aa169-4-2
Keywords: mathbb p extension number field denote its layers prove stabilization properties orders p ranks higher iwasawa modules arising lower central series galois group maximal unramified pro p extension resp

Andrea Bandini  1   ; Fabio Caldarola  2

1 Dipartimento di Matematica e Informatica Università degli Studi di Parma Parco Area delle Scienze, 53/A 43124 Parma (PR), Italy
2 Dipartimento di Matematica e Informatica Università della Calabria via P. Bucci, Cubo 31B 87036 Arcavacata di Rende (CS), Italy 
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     title = {Stabilization in non-abelian {Iwasawa} theory},
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Andrea Bandini; Fabio Caldarola. Stabilization in non-abelian Iwasawa theory. Acta Arithmetica, Tome 169 (2015) no. 4, pp. 319-329. doi: 10.4064/aa169-4-2

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