Filter assembly for a fuel injector, fuel injector and method for assembly the filter assembly

A filter assembly (110) for an injector (100) for injecting fuel into a combustion engine is disclosed. The filter assembly (110) has a longitudinal axis (105). It comprises a filter element (165) with a cylindrical section (180) having a first axial end (220) and a second axial end (225), and a tubular filter housing (170) in which the filter element (165) is received. The filter housing (170) has a radial protrusion (305) which supports the first axial end (220) of the cylindrical section (180). The filter assembly (110) further has a cap (175) for holding the filter element (165) at the second axial end (225). The cap (175) encompasses the filter housing (170) along an outer circumference. The second axial end (225) rests directly against the cap (175).