Geodesic
Asymptotic growth patterns for class field towers
Documenta mathematica, Tome 29 (2024) no. 1, pp. 141-158 Cet article a éte moissonné depuis la source EMS Press

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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 
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}
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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

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