Abstract Let G be a permutation group, acting on set $$\varOmega $$ ? of size n . A subset $${\mathcal {B}}$$ xmlns:mml="http://www.w3.org/1998/Math/MathML">B is base for if the pointwise stabilizer $$G_{({\mathcal {B}})}$$ xmlns:mml="http://www.w3.org/1998/Math/MathML"><mm...