Dear Forum,
On Fri, 16 Nov 2001, MICHAEL HARTLEY wrote:
--> One person asked why I wanted the presentation when I already
--> had an permutation representation. The reason is that the group is
--> the group of a regular polytope, and the permutation representation
--> gives little intuitive understanding of the structure of the polytope.
--> The presentation will give that understanding.
Will it really? I'm far away from being a specialist on algorithms for
finding a set of defining relations in a given group but user
experience (and also the two examples in the GAP4-manual (section
45.1: "Creating Presentations")) make me feel pretty certain that
automatically generated presentations and "nice presentations" -- in
the sense that one can understand the group structure by looking at
the relations -- are very often two different sorts of things.
Best regards,
M. Kratzer
---------------------------------------------------------------------- Dipl.-Math. Mathias Kratzer | I_nstitute for E-Mail: kratzer@exp-math.uni-essen.de | E_xperimental Phone : +49-201-183-7680 | M_athematics Ellernstr. 29 Visit : IEM, Room 205 | D-45326 ESSEN
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