Reports on families of imaginary abelian fields with pseudo-null unramified Iwasawa modules

Satoshi Fujii

Reports on families of imaginary abelian fields with pseudo-null unramified Iwasawa modules

Number Theory 2021-07-27 v1

Authors: Satoshi Fujii

Abstract

Let $p$ be a prime number. We show that, there exists an infinite family of imaginary abelian fields such that, the Iwasawa module of the maximal multiple ${\Bbb Z}_p$ -extension is non trivial and pseudo-null for each field in the family. We also discuss on an application to non-abelian Iwasawa theory in the sense of Ozaki.

Keywords

imaginary abelian fields Iwasawa module pseudo-null maximal multiple Z_p-extension non-abelian Iwasawa theory

Cite

@article{arxiv.2107.11488,
  title  = {Reports on families of imaginary abelian fields with pseudo-null unramified Iwasawa modules},
  author = {Satoshi Fujii},
  journal= {arXiv preprint arXiv:2107.11488},
  year   = {2021}
}

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