[GAP Forum] ? trouble getting started ?
costanti at science.unitn.it
Mon Jul 26 14:06:39 BST 2004
Dear Brian Beckman and dear Gap-forum,
> I could not figure out
> "multiplication" of purmutations, however, so (1,2)*(1,2,3)=(1,3); did
> make sense to me and (1,2,3)*(1,2)=(2,3); did not make sense. I expected
> (1,2)*(1,2,3)=(1,2,3)^(1,2) and (1,2,3)*(1,2)=(1,2)^(1,2,3), but that's
> obviously not the case.
You can think the permutations as elements of a opportune permutation group,
and the composition of permutation as the group operation. As usually the
group operation is called "multiplication" and is denoted by "*", it is
natural to call "multiplication" also the composition of permutations, and
to use "*" in Gap, where only a limited set of symbols is available.
> I apologize for my ignorance of the subject, but I am attempting to use
> to learn algebra.
Welcome to using Gap and to learn algebra!
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