On some combinatorial properties of the orbits on subsets

Mathematics – Combinatorics

Scientific paper

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Improved redaction. Added counterexample

Scientific paper

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.

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