How did king William the conquer assert his authority over England?

King William the Conqueror asserted his authority over England through a combination of military conquest and strategic governance. After defeating King Harold II at The Battle of Hastings in 1066, he established control by distributing land to his loyal Norman followers, thereby creating a loyal aristocracy. He also commissioned the Domesday Book in 1086 to assess and record landholdings, which helped solidify his power and facilitate tax collection. This combination of military might and administrative reforms allowed William to effectively consolidate his authority over the newly conquered territory.