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Clemson University, O-110 Martin Hall · 2020

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Lower bounds on the $\ell$-rank of ideal class groups

math.NT · 2025-01-16 · accept · novelty 8.0

For ℓ-divisible extensions K/F, the ℓ-rank of the class group of K is at least the number of base primes with at least one ℓ-divisible ramification index, divided by a group invariant, corrected by unit ranks and the ℓ-part of the degree.

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  • Lower bounds on the $\ell$-rank of ideal class groups math.NT · 2025-01-16 · accept · none · ref 2015

    For ℓ-divisible extensions K/F, the ℓ-rank of the class group of K is at least the number of base primes with at least one ℓ-divisible ramification index, divided by a group invariant, corrected by unit ranks and the ℓ-part of the degree.