JP Journal of Algebra, Number Theory and Applications
Volume 43, Issue 1, Pages 77 - 99
(July 2019) http://dx.doi.org/10.17654/NT043010077 |
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ON IWASAWA’S CLASS NUMBER FORMULA FOR -EXTENSIONS
Sohei Tateno
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Abstract: Let p be a prime number. In this paper, we estimate the variation of the sizes of quotients of certain finitely generated p-torsion Iwasawa modules, which are closely related to class numbers. We also construct some -extensions whose Iwasawa m-invariant is nonzero. At the end of this paper, we calculate the determinants of some matrices that are related to the groups |
Keywords and phrases: Iwasawa’s class number formula, non-commutative Iwasawa theory.
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