Cutting element, tool, and method for producing a helically extending, trapezoidally undercut groove in a cylindrical surface of a bore

Cutting element for a tool to create a helically extending, trapezoidally undercut groove in a cylindrical surface of a bore, the cutting element comprising:

• a series of groove-cutting teeth to create a symmetrically cross-sectioned groove, each groove-cutting tooth spaced from a next-in-series or a prior-in-series groove-cutting teeth in the series by a whole-numbered multiple of a pitch, the series of groove-cutting teeth comprising at least one pre-machining tooth to create and machine a base groove and several trapezoidal teeth following the at least one pre-machining tooth, each trapezoidal tooth is trapezoidal in shape and has a tooth head profile with a cross-section that is larger at a head of the tooth than at a base of the tooth, with two flanks delimiting a flank angle for further machining the base groove to a trapezoidally undercut final cross-section, wherein
• each of the groove-cutting teeth has a symmetrically cross-sectioned tooth head profile, and
• the flank angle delimited by the two flanks of the trapezoidally shaped tooth head profile increases from at least one trapezoidal tooth to a following trapezoidal tooth to a defined final dimension.