Geodesic
Rarity of pseudo-null Iwasawa modules for p-adic Lie extensions
Canadian mathematical bulletin, Tome 68 (2025) no. 3, pp. 709-724

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DOI

In this article, we obtain a necessary and sufficient condition for the pseudo-nullity of the p-ramified Iwasawa module for p-adic Lie extensions of totally real fields. It is applied to answer the corresponding question for the minus component of the unramified Iwasawa module for CM-fields. The results show that the pseudo-nullity is very rare.
DOI : 10.4153/S0008439525000037
Mots-clés : Iwasawa theory, Iwasawa modules, Greenberg’s generalized conjecture 
Kataoka, Takenori. Rarity of pseudo-null Iwasawa modules for p-adic Lie extensions. Canadian mathematical bulletin, Tome 68 (2025) no. 3, pp. 709-724. doi: 10.4153/S0008439525000037
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     author = {Kataoka, Takenori},
     title = {Rarity of pseudo-null {Iwasawa} modules for p-adic {Lie} extensions},
     journal = {Canadian mathematical bulletin},
     pages = {709--724},
     year = {2025},
     volume = {68},
     number = {3},
     doi = {10.4153/S0008439525000037},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439525000037/}
}
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