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Dear Forum,

some letter to the forum where rejected by our list-server, because

they were sent from different accounts than usual.

sorry for any delay

Frank

----------------------------------------------------------------------------- Date: Tue, 24 Aug 1993 13:55:31 +0200 Comment: GAP Forum Originator: gap-forum@samson.math.rwth-aachen.de Errors-To: martin@samson Reply-To: <gap-forum@samson> Sender: gap-forum@samson Version: 5.31 -- Copyright (c) 1991, Anastasios Kotsikonas From: gap-forum@samson To: martin@samson Subject: Re: Calculating Invariants

I might have two (!) answers for Mr Donaghy's request; both are programs

written in Maple. They calculate the ring of invariants of a finite

linear group defined over K=Q . In other words, the group acts on the

indeterminates of a purely transcendental extension of K by linear

transformations. "Calculate" means that they calculate a Cohen-Macaulay

basis for the ring of invariants.

The first program has been written by Janet McShane together with

Larry Grove, whom Herr Neubueser already mentioned in his reply (email

grove@math.arizona.edu).

The second one is by me. It has been published in the Maple Share

Library and can be obtained by anonymous ftp on

neptune.inf.ethz.ch (129.132.101.33),

but also directly from me by email. In my program you can also take an

algebraic number field for K, and it can calculate syzygies between the

generating invariants.

Hope I won't get kicked out of the forum for advertising Maple programs!

Gregor Kemper

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