[GAP Forum] Question about Representation of Permutation group's
elements
Marco Costantini
costanti at science.unitn.it
Sun Jun 27 17:51:43 BST 2004
Dear Kang ByoungKwan,
> I am a beginner of GAP.
Welcome!
> If I want to calculate some math problems related to all elements of
> permutation group,
> how can I represent the elements of permutation group in GAP?
A permutation is represented like
(1,3,4,2,5)
The group generated by (1,2,3) and (1,4,5) is represented by
Group( (1,2,3), (1,4,5) )
(remember ';' at the end of the command)
> For example, there are S_5. I want to computing some equation related to
> group elements. How can I take all elements of S_5 in GAP for using
> computing ?
See the help giving the command
?Basic Groups
In general, it may be not efficient to list all the elements of a Group. It
may be better to look at the conjugacy classes: try
ConjugacyClasses( SymmetricGroup( 5 ) );
All the best,
Marco Costantini
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