On capitulations and pseudo-null submodules in certain ${\Bbb Z}_p^d$-extensions
Number Theory
2024-06-10 v2
Abstract
Let be a prime number. By a result of Ozaki, the capitulations of ideals in -extensions and the finite submodules of Iwasawa modules are closely related. In this article, we discuss this relationship in -extensions.
Keywords
Cite
@article{arxiv.2406.03759,
title = {On capitulations and pseudo-null submodules in certain ${\Bbb Z}_p^d$-extensions},
author = {Satoshi Fujii},
journal= {arXiv preprint arXiv:2406.03759},
year = {2024}
}