12 citations · 22 across the 6 of their papers we have counts for
5 papers · 1 filter
Trivial Iwasawa modules and arithmetic linking numbers
Yasushi Mizusawa, Keiji Okano
We give a computable criterion of the triviality of the unramified Iwasawa module over the maximal multiple -extension of a number filed in which an odd prime number $…
On -class groups of relative cyclic -extensions
Yasushi Mizusawa, Kota Yamamoto
We prove a general stability theorem for -class groups of number fields along relative cyclic extensions of degree , which is a generalization of a finite-extension version…
On pro- link groups of number fields
Yasushi Mizusawa
As an analogue of a link group, we consider the Galois group of the maximal pro--extension of a number field with restricted ramification which is cyclotomically ramified at …
On mod 3 triple Milnor invariants and triple cubic residue symbols in the Eisenstein number field
Fumiya Amano, Yasushi Mizusawa, Masanori Morishita
We introduce mod 3 triple Milnor invariants and triple cubic residue symbols for certain primes of the Eisenstein number field , following the analogies betw…
On the Z_p-ranks of tamely ramified Iwasawa modules
Tsuyoshi Itoh, Yasushi Mizusawa, Manabu Ozaki
For a prime number p, we denote by K the cyclotomic Z_p-extension of a number field k. For a finite set S of prime numbers, we consider the S-ramified Iwasawa module which is the G…