> group theorists would normally draw permutations as collection of directed > cycles, with labelled vertices.
I would somewhat also expect this to be the default drawing of a permutation. Especially, when a permutation has a lot of fix points, diagram presentations get kind of messy. Imagine the permutation (1,2)(23,24) in S_n for some big n. What about an optional argument for various drawing methods that can be something like - "cycle" (my favorite for the default) - "braid" (this is the one you were proposing, Nathaan - very nice also when one can also get such a braid for multiple permutations concatenated) - "one-line" (which puts all letters 1..n on a line and then draw directed arcs to the right on top and to the left on bottom; very usefull when studying noncrossing or nonnesting permutations) - "chord-diagram" (all points on a circle and then oriented edges within the circle) Just my 2 cents, Christian -- You received this message because you are subscribed to the Google Groups "sage-combinat-devel" group. To post to this group, send email to sage-combinat-devel@googlegroups.com. To unsubscribe from this group, send email to sage-combinat-devel+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/sage-combinat-devel?hl=en.