Highhandedness (9)
(Other definitions for arrogance that I've seen before include "disdain" , "Excessive self-importance" , "Overbearing attitude of pride and insolence" , "Conceitedness" , "Overbearing haughtiness" .)
(Other definitions for dogmatism that I've seen before include "Assertion of opinions as truths" , "Positive assertion of opinion" .)