A transitive action occurs when a group acts on a set in such a way that if one element can be transformed into another by the group's action, then any element can be transformed into any other element through a series of actions. This concept is key in understanding how groups interact with sets and plays an important role in the study of symmetries and permutations, connecting to ideas like orbit-stabilizer theorem and Burnside's lemma.
congrats on reading the definition of Transitive Action. now let's actually learn it.