Abstract
Let H=ℚ(ζn+ζn−1) and ℓ be an odd prime such that q≡1(modℓ) for a prime factor q of n. We get a bound on the ℓ-rank of the class group of H in terms of the ℓ-rank of the class group of a real quadratic subfield contained in H. At the end we look into few numerical examples.
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