Re: Galois action on class groups

Bill Allombert on Fri, 17 Mar 2017 12:27:12 +0100

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Re: Galois action on class groups

To: pari-users@pari.math.u-bordeaux.fr
Subject: Re: Galois action on class groups
From: Bill Allombert <Bill.Allombert@math.u-bordeaux.fr>
Date: Fri, 17 Mar 2017 12:27:03 +0100
Delivery-date: Fri, 17 Mar 2017 12:27:12 +0100
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On Fri, Mar 17, 2017 at 10:54:01AM +0000, LECOUTURIER Emmanuel wrote:
> 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 ?

If that helps, the Galois action on the class group is given by bnrgaloismatrix.

Cheers,
Bill

References:
- Galois action on class groups
  - From: LECOUTURIER Emmanuel <Emmanuel.LECOUTURIER@imj-prg.fr>

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