Let
F
n
,
c
{F_{n,c}}
denote the free
n
n
-generator nilpotent group of class
c
c
. For
n
≥
c
+
m
−
1
n \geq c + m - 1
, every primitive system of
m
m
elements of
F
n
,
c
{F_{n,c}}
can be lifted to a primitive system of
m
m
elements of the free group
F
n
{F_n}
.