(adjective) putting an end to or precluding a right of action, debate, or delay / (adjective) not providing an opportunity to show cause why one should not comply / (adjective) admitting of no contradiction / (adjective) expressive of urgency or command / (adjective) characterized by often imperious or arrogant self-assurance / (adjective) indicative of a peremptory attitude or nature; haughty / (noun) a challenge (as of a juror) made as of right without assigning any cause
The most excruciating thing was probably their stern, dogmatic, peremptory tone, quivering with repressed indignation