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Apr 13, 2016 at 4:49 comment added Amritanshu Prasad I am curious to see the context in which these come up; whenever you are ready to share. You can find my contacts through my profile.
Apr 13, 2016 at 4:46 history edited Amritanshu Prasad CC BY-SA 3.0
corrections based on OP's comments
Apr 12, 2016 at 6:58 comment added DLN Also, I guess we can do the same thing for $ p $-sylow subgroups of $ S_{p^n} $ if instead of taking $ 2 $ element subsets, we take $ p $-element subsets.
Apr 12, 2016 at 6:24 comment added DLN Nice observation. I think you meant $ X_{k+1}^k $ is the set of 2-sylow subgroups of $ S_n $.
Apr 12, 2016 at 4:45 history answered Amritanshu Prasad CC BY-SA 3.0