On regular systems of finite classical polar spaces

Let P be a finite classical polar space of rank d . An m -regular system with respect to ( k − 1 ) -dimensional projective spaces , ≤ is set R generators the property that every lies on exactly Regular systems are investigated. Some non-existence results about certain 1-regular low proved and procedure obtain ′ from given described. Finally, three different construction methods regular w.r.t. points various discussed.