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


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Re: Galois action on class groups


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