Dick, since it's an Alpha One, it's probably an older boat, I assume? If it's not the prop hub, which you can easily determine by swapping the prop, it's likely the splined coupler which is mounted on the flywheel and mates with the very end of the input shaft of the out drive. Unfortunately, you have to pull the engine to replace it. If you google Mercruiser Alpha One engine coupler you will get numerous results.
Edit: If it's the coupler, it should look something like this but there are other styles depending on whether its a 4, 6, or 8 cylinder. I had one go on my 76 Penn Yan with the inline 6 cylinder. I had to pull the engine. Once out, it was a five minute job with 6 bolts.
http://www.amazon.com/MERCRUISER-ENG...ruiser+coupler
BT