Complex sentence: The fighting ended after 1434, when the moderate Utraquist faction of the Hussites defeated the radical Taborite faction, agreed to submit to the authority of the King of Bohemia and the Church, and were allowed to practice their somewhat variant rite.
Split into simpler sentences: The fighting ended after 1434, when the moderate Utraquist faction of the Hussites defeated the radical Taborite faction. The Hussites agreed to submit to the authority of the King of Bohemia and the Church, and were allowed to practice their somewhat variant rite.