dispute, difference, difference of opinion, conflict -- (a disagreement or argument about something important; "he had a dispute with his wife"; "there were irreconcilable differences"; "the familiar conflict between Republicans and Democrats")
dispute, contravention -- (coming into conflict with)
quarrel, dispute, scrap, argufy, altercate -- (have a disagreement over something; "We quarreled over the question as to who discovered America"; "These two fellows are always scrapping over something")