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arXiv:1004.2375 [math.CO]AbstractReferencesReviewsResources

On some combinatorial properties of the orbits on subsets

Xavier Buchwalder

Published 2010-04-14, updated 2010-08-23Version 3

We introduce generalised orbit algebras. The purpose here is to measure how some combinatorial properties can characterize the action of a group of permutations on the subsets. The similarity with orbit algebras is such that it took the author a long time to find a generalised orbit algebra not arising from a permutation group.

Comments: Improved redaction. Added counterexample
Categories: math.CO, math.GR
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