GAP Forum, I am looking for a way to study groups based on complementation, for example, D4 X S3 X S2 where S2 is the complementation group of white and black beads in a two colored necklace (This is after the convention used in Gilbert and Riordan "Symmetry Types of Periodic Sequences, Ill. Journ. of Math. 1961) I would like to study these groups and construct character tables as well. An easy example is C4 X C3 X S2, here there are 44 necklaces with 6 white and 6 black beads and the others merely collapse (12/0, 11/1, 10/2, 9/3, 8/4 and 7/5) so the answer here has order 1+1+6+19+43+66+44=180 I am happy to say I finally completely understand the construction of character tables for the Symmetric Groups, small steps I guess. Thanks Paul_______________________________________________ Forum mailing list Forum@mail.gap-system.org http://mail.gap-system.org/mailman/listinfo/forum
