Gerhard Niklasch on Fri, 25 May 2001 07:56:40 +0200 (MEST)

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Re: group code for galois groups of deg >7

In response to:
> Message-ID: <Pine.LNX.4.33.0105242214090.11123-100000@weil>
> Date: Thu, 24 May 2001 22:19:28 -0400 (EDT)
> From: <>
> To: <>
> I've installed the data files which allow  pari  to compute the Galois
> groups of polynomials of deg 8 to 11.  However, I have not able to find a
> list of the codes of these additional Galois groups.  Any suggestions on
> where to get these group codes are most welcome.

Recycling an earlier answer to this question:

"The transitive groups of degree up to eleven" by G. Butler and J. McKay,
in Communications in Algebra, vol. 11, 1983, pages 863--911.

(quoting from the readme file of Michel Olivier's galp directory, .  However, galp uses a
somewhat different convention for identifying the groups it finds in
degrees 8 through 11.  The actual PARI code is in src/modules/galois.c,
and the state machines in there together with the files in galdata.tgz
determine the mapping.  I should hope that the numbering used by the
code is the same as that in Butler&McKay, but I'm separated from my
copy of the paper by several miles at the minute, and therefore cannot
check this right now.)

Hope this helps,