English

On some combinatorial properties of the orbits on subsets

Combinatorics 2010-08-24 v3 Group Theory

Abstract

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.

Keywords

Cite

@article{arxiv.1004.2375,
  title  = {On some combinatorial properties of the orbits on subsets},
  author = {Xavier Buchwalder},
  journal= {arXiv preprint arXiv:1004.2375},
  year   = {2010}
}

Comments

Improved redaction. Added counterexample

R2 v1 2026-06-21T15:10:14.711Z