Annihilators of the ideal class group of a cyclic extension of an imaginary quadratic field

2017/05/31 by Hugo Chapdelaine, Chapdelaine, Hugo, Radan Kučera +1
Mathematics · #11R29 #FOS: Mathematics #Number Theory (math.NT) #Primary 11R20 #Secondary 11R27 #math.NT #msc:11R20 #msc:11R27 #msc:11R29

paper · pdf · doi:10.48550/arxiv.1705.10905

arxiv created 2017/05/31 · arxiv updated 2017/06/01

Abstract

The aim of this paper is to study the group of elliptic units of a cyclic extension L of an imaginary quadratic field K such that the degree [L:K] is a power of an odd prime p. We construct an explicit root of the usual top generator of this group and we use it to obtain an annihilation result of the p-Sylow subgroup of the ideal class group of L.

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