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notoriety (n.)

"state or character of being unfavorably known," 1590s, from French notoriété or directly from Medieval Latin notorietatem (nominative notorietas), from notorius "well-known," from Latin notus "known," past participle of noscere "come to know," from PIE root *gno- "to know." 

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Definitions of notoriety from WordNet

notoriety (n.)
the state of being known for some unfavorable act or quality;
Synonyms: ill fame
From wordnet.princeton.edu