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MathGroup Archive 1998

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Solve Equations over Finite Group

  • To: mathgroup at smc.vnet.net
  • Subject: [mg13662] Solve Equations over Finite Group
  • From: Alexander Craig Russell <acr at cs.utexas.edu>
  • Date: Mon, 10 Aug 1998 10:19:29 -0500
  • Organization: University of Texas at Austin
  • Sender: owner-wri-mathgroup at wolfram.com

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?

Many thanks,

Alex Russell
UT Dept. of Computer Sci.



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