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Am using GAP 3.4.4 and wonder how to find the orbits of the following group

action, if it can be done at all.

What are the distinct patterns that 9 beads form on a loop--3 black, 6 white?

The group is the 9th dihedral group (symmetries of a regular 9-gon) and the

set acted upon would be the COMBINATION(9,3) 9-tuples of black/white

arrangements.

How would GAP 3.4.4 crunch this one?

Thank you.

Bruce

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