2021/07/13 by Takashi Miura, Miura, Takashi, Kazuaki Murakami +5
Mathematics · #Algebraic structures and combinatorial models #Algebraic Geometry and Number Theory #Advanced Topics in Algebra
paper · pdf · doi:10.48550/arxiv.2107.06644
For an odd prime number p, we study the number of generators of the unramified Iwasawa modules of the maximal multiple ℤp-extensions over Iwasawa algebra. In a previous paper of the authors, under several assumptions for an imaginary quadratic field, we obtain a necessary and sufficient condition for the Iwasawa module to be cyclic as a module over the Iwasawa algebla. Our main result is to give methods for computation and numerical examples about the results. We remark that our results do not need the assumption that Greenberg's generalized conjecture holds.