Adding a Transformation to Imprimitive Transitive Groups
Wangwei Li, Xianhua Li · Algebra Colloquium · 2024
Let [Formula: see text] be a transitive group. We mainly prove that the group[Formula: see text]is primitive for a given special permutation[Formula: see text]and the semigroup[Formula: see text] is synchronizing for a given special transformation [Formula: see text].