Kazuaki Murakami

activity

20192021

collaborators

3 papers

math.NT2021

On the Cyclicity of the Unramified Iwasawa Modules of the Maximal Multiple $Z_{p}$ -Extensions Over Imaginary Quadratic Fields

Takashi Miura, Kazuaki Murakami, Keiji Okano +1

For an odd prime number $p$ , we study the number of generators of the unramified Iwasawa modules of the maximal multiple $Z_{p}$ -extensions over Iwasawa algebra. In a previo…

math.NT2020

Weak Greenberg's generalized conjecture for imaginary quadratic fields

Kazuaki Murakami

Let $p$ be an odd prime number and $k$ an imaginary quadratic field in which $p$ splits. In this paper, we consider a weak form of Greenberg's generalized conjecture for $p$ and $k…

math.NT2019

Galois coinvariants of the unramified Iwasawa modules of multiple $Z_{p}$ -extensions

Takashi Miura, Kazuaki Murakami, Rei Otsuki +1

For a CM-field $K$ and an odd prime number $p$ , let $K^{'}$ be a certain multiple $Z_{p}$ -extension of $K$ . In this paper, we study several basic properties of the u…

On the Cyclicity of the Unramified Iwasawa Modules of the Maximal Multiple Zp​-Extensions Over Imaginary Quadratic Fields

Weak Greenberg's generalized conjecture for imaginary quadratic fields

Galois coinvariants of the unramified Iwasawa modules of multiple Zp​-extensions

On the Cyclicity of the Unramified Iwasawa Modules of the Maximal Multiple $Z_{p}$ -Extensions Over Imaginary Quadratic Fields

Galois coinvariants of the unramified Iwasawa modules of multiple $Z_{p}$ -extensions