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Charles the Martell managed to defeat the Arabic invasion at Tours (Poitiers). As a result, he also stopped the spread of Islam, consequently preserved Christianity.
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Pepin the Short (as a Roman Catholic) helped the Pope to fight against the Lombards. After that Pepin gave the liberated territory to the Pope in hope of future support.
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Charlemagne was coronated as an emperor in Aachen. As a result he had full power and control on the whole continent (from the Atlantic Ocean to the Danube).
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Charlemagne died at this time, consequently his son (who was an only child), Louis the Pious inherited the empire. He proved to be too religious to control the empire.
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The Frank Empire got divided between the 3 sons. The western part became the kingdom of Charles the Bald, Louis the German got the eastern part and the central part was given to Lothair.