ON IWASAWA’S CLASS NUMBER FORMULA FOR -EXTENSIONS
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
Iwasawa’s class number formula, non-commutative Iwasawa theory.
