Orbits by the Up-Down Action of Braid Diagrams
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Knot Theory and Its Ramifications"
DOI: 10.1142/s0218216525500312
Abstract: The set of all virtual or classical braid diagrams forms a monoid and gives a natural monoid action on a direct product of ${\mathbb Z}$ called the up-down action. In this paper, we determine the… read more here.
Keywords: braid diagrams; action braid; braid; orbits action ... See more keywords
Finite permutation groups with few orbits under the action on the power set
Sign Up to like & getrecommendations! 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… read more here.
Keywords: orbits action; finite permutation; permutation groups; groups orbits ... See more keywords