Geodesic
Asymptotic growth patterns for class field towers
Documenta mathematica, Tome 29 (2024) no. 1, pp. 141-158

Voir la notice de l'article provenant de la source EMS Press

Let p be an odd prime number. We study growth patterns associated with finitely ramified Galois groups considered over the various number fields varying in a Zp​-tower. These Galois groups can be considered as non-commutative analogues of ray class groups. For certain Zp​-extensions in which a given prime above p is completely split, we prove precise asymptotic lower bounds. Our investigations are motivated by the classical results of Iwasawa, who showed that there are growth patterns for p-primary class numbers of the number fields in a Zp​-tower.
DOI : 10.4171/dm/949
Classification : 11R23
Mots-clés : Hilbert class field towers, Iwasawa theory, growth patterns 
@article{10_4171_dm_949,
     author = {Arindam Bhattacharyya and Vishnu Kadiri and Anwesh Ray},
     title = {Asymptotic growth patterns for class field towers},
     journal = {Documenta mathematica},
     pages = {141--158},
     publisher = {mathdoc},
     volume = {29},
     number = {1},
     year = {2024},
     doi = {10.4171/dm/949},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/949/}
}
TY  - JOUR
AU  - Arindam Bhattacharyya
AU  - Vishnu Kadiri
AU  - Anwesh Ray
TI  - Asymptotic growth patterns for class field towers
JO  - Documenta mathematica
PY  - 2024
SP  - 141
EP  - 158
VL  - 29
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/949/
DO  - 10.4171/dm/949
ID  - 10_4171_dm_949
ER  - 
%0 Journal Article
%A Arindam Bhattacharyya
%A Vishnu Kadiri
%A Anwesh Ray
%T Asymptotic growth patterns for class field towers
%J Documenta mathematica
%D 2024
%P 141-158
%V 29
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/949/
%R 10.4171/dm/949
%F 10_4171_dm_949
Arindam Bhattacharyya; Vishnu Kadiri; Anwesh Ray. Asymptotic growth patterns for class field towers. Documenta mathematica, Tome 29 (2024) no. 1, pp. 141-158. doi: 10.4171/dm/949

Cité par Sources :