Galois action on class groups

LECOUTURIER Emmanuel on Fri, 17 Mar 2017 11:54:10 +0100

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Galois action on class groups

To: "pari-users@pari.math.u-bordeaux.fr" <pari-users@pari.math.u-bordeaux.fr>
Subject: Galois action on class groups
From: LECOUTURIER Emmanuel <Emmanuel.LECOUTURIER@imj-prg.fr>
Date: Fri, 17 Mar 2017 10:54:01 +0000
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Thread-topic: Galois action on class groups

Hello,
let K be a finite Galois extension of Q(zeta_p), and let C be the class group of K.
Question : is there an existing function which gives the group structure of the omega^i-th eigenspace of C, where omega = p-Teichmuller ?
Sincerely yours,
Emmanuel Lecouturier

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