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Globally, Глебка (Glebka , Глебка ) is an extremely rare boy's first name. More prevalently, Глебка is the last name as well as the forename.
Глебка is also a name for the fictitious and mythical characters: Gleb Zheglov , the fictional character in Arkady and Georgy Vayner's novel The Age of Mercy, The Meeting Place Cannot Be Changed.