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We prove the equivalence of two conditions on the primitive elements in an$SL(2,\mathbb C)$ representation of the free group $F_2$ on two generators,which may hold even when the image of $F_2$ is not discrete. One is Minsky'scondition of primitive stability and the other is the $BQ$-condition introducedby Bowditch and generalised by Tan, Wong and Zhang.

Primitive stability and Bowditch's BQ-condition are equivalent