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Re: Solve Equations over Finite Group

• To: mathgroup at smc.vnet.net
• Subject: [mg13701] Re: Solve Equations over Finite Group
• From: Paul Abbott <paul at physics.uwa.edu.au>
• Date: Sat, 15 Aug 1998 04:39:30 -0400
• Organization: University of Western Australia
• References: <6qp3dg$ajt@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

Alexander Craig Russell wrote:

> Is anyone familiar with a mathematica package which allows one to solve
> equations over a finite group? Given
> 
>     (1 2 3) x (1 2 3)^(-1) x^(-1) = (1 3 2)
> 
> (in S_3, say) I would like the package to respond with x = (1 2).
> 
> For general groups (described as subgroups of S_n) I would like the
> same. Do such things exist?

A step in this direction is the Algebra`FiniteFields` Package.

Cheers,
	Paul 

 
____________________________________________________________________ 
Paul Abbott                                   Phone: +61-8-9380-2734
Department of Physics                           Fax: +61-8-9380-1014
The University of Western Australia            Nedlands WA  6907       
mailto:paul at physics.uwa.edu.au  AUSTRALIA                       
http://www.physics.uwa.edu.au/~paul

            God IS a weakly left-handed dice player
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