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arxiv: 1812.06884 · v1 · pith:SIKAHA77new · submitted 2018-12-17 · 🧮 math.NT

On the distribution of Cl(K)[l^infty] for degree l cyclic fields

classification 🧮 math.NT
keywords cyclicdegreedistributionfieldsinftyalexanderbreakthroughclass
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Using a recent breakthrough of Alexander Smith, we prove that $l^\infty$-class groups of cyclic degree $l$ fields have the distribution conjectured by Gerth under GRH.

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