Abstract
For multi-variable extensions of number fields, we study the maximal finite submodules of classical Iwasawa modules. Our principal objects are the unramified Iwasawa modules for two-variable extensions of imaginary quadratic fields. On the one hand, we obtain a novel way to show a certain upper bound, or even the vanishing, of the maximal finite submodules. On the other hand, we obtain a sufficient condition for the non-vanishing, and then construct numerical examples for which the non-vanishing holds.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
