July 29, 2024Open Access

Class number behavior in a two-tiered tower of Zₚ-extensions

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Resumen

Let k_ be the cyclotomic Zₚ-extension field of an algebraic number field k. Moreover, we take a Zₚ-extension K_ over k_. In this paper, we study the behavior of the p-part of the class number of certain intermediate fields of K_ /k.

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Cite This Study

Tsuyoshi Itoh (Mon,) studied this question.

synapsesocial.com/papers/68e5eb43b6db643587580596 https://doi.org/https://doi.org/10.48550/arxiv.2407.19751

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