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Primary components of the ideal class group of the $\mathbf{Z}_p$-extension over $\mathbf{Q}$ for typical inert primes
Let p be an odd prime, Z p the ring of p-adic integers, and l a prime number different from p.We have shown in [1] that, if l is a sufficiently large primitive root modulo p 2 , then the l-class group of the Z p -extension over the rational …