Abstract
Within the framework of partial actions of groups, we introduce here the partial stabilizer and prove that it coincides with the global stabilizer. In addition, we define the partial orbits and show that they are completely determined by the global orbits. Finally, we use this result to prove that the partial action (X,�) is n − transitive if and only if its enveloping action (T,�) is n − transitive.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have