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Published in 2018 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2018.07.039
Abstract: Abstract Let G be a transitive permutation group on a finite set Ω. If G is multiplicity-free, then End G ( C [ Ω ] ) is commutative, and Krein parameters q i , j…
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Keywords:
finite permutation;
characters finite;
permutation groups;
permutation ... See more keywords
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Published in 2021 at "Rocky Mountain Journal of Mathematics"
DOI: 10.1216/rmj.2021.51.1553
Abstract: We study the orbits under the natural action of a permutation group $G \subseteq S_n$ on the powerset $\mathscr{P}(\{1, \dots , n\})$. The permutation groups having exactly $n+1$ orbits on the powerset can be characterized…
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Keywords:
orbits action;
finite permutation;
permutation groups;
groups orbits ... See more keywords