> < ^ From:

< ^ Subject:

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

> < [top]