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math.NT2011★ 1 cited
On tamely ramified Iwasawa modules for the cyclotomic Z_p-extension of abelian fields
Tsuyoshi Itoh
Let p be an odd prime, and k_\infty the cyclotomic Z_p-extension of an abelian field k. For a finite set S of rational primes which does not include p, we will consider the maximal…
math.NT2011★ 12 cited
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…