The paper reports first magnetic measurements performed on MBE grown e
pilayers of zinc-blende Cd1-xMnxSe. For all samples studied in the con
centration range 0.24 < x < 0.63 we find at low temperatures a history
-dependent magnetic response, suggesting a transition to a spin-glass-
like state. The central result of the paper is the presentation of a n
ew, complete magnetic phase diagram for this material.