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May 1, 2015 at 21:56 comment added LSpice For your original (2), 'their' refers to the child, right? "[T]he type of a person's parents can be determined by [that person's] gender and type." For the rephrased (2), don't you mean that $s$ and $d$ are permutations? (I suppose that you can call a permutation an integer action, but the terminology seems unusual.)
Mar 26, 2011 at 21:33 comment added Brad Rodgers Sorry to take so long to respond. My memory isn't fresh, so I can't remember what I was thinking -- if anything -- in saying "s must be (12) (it cannot be e)," but it seems to me you are right. It is still true in this case that the group generated by s and d is commutative, for all that it's worth.
Jan 28, 2011 at 22:10 comment added Eric Hall I'm not seeing why we can't have just two types with s=(1 2) and d=e.
May 24, 2010 at 7:30 comment added Gunnar Þór Magnússon There is also a short informal discussion of this problem in "The artist and the mathematician" by Amir D. Aczel.
May 24, 2010 at 3:39 history answered Brad Rodgers CC BY-SA 2.5