Class groups and S-units of relative extension

Watson Ladd on Wed, 19 Apr 2017 21:58:56 +0200

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Class groups and S-units of relative extension

To: pari-users@pari.math.u-bordeaux.fr
Subject: Class groups and S-units of relative extension
From: Watson Ladd <watsonbladd@gmail.com>
Date: Wed, 19 Apr 2017 12:58:46 -0700
Delivery-date: Wed, 19 Apr 2017 21:58:56 +0200
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Dear all,

I have a number field L obtained as a tower over a number field K that I would like to obtain the S-units of. Currently I treat L as global which is infeasible (It has huge degree). If I use bnfinit (rnfinit (K, pol)) will this use the relative algorithms or will it attempt the absolute one? Furthermore, if L is a compositum of simpler fields can I use that information as well?

Sincerely,

Watson Ladd

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- Re: Class groups and S-units of relative extension
  - From: Bill Allombert <Bill.Allombert@math.u-bordeaux.fr>

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