2003 Oldsmobile Alero won't crank

Electrical problem
2003 Oldsmobile Alero 6 cyl Front Wheel Drive Automatic

i have a 2003 olds alero the batterie is good. i turn it off the other day , 5 mins. later it won't crank. If you jump the starter it will crank but won't start. The little wire on the starter is died in crank position



Thank you
Frank Herber