You can do that as below:

1. enabling developer mode.
2.  Go to Settings then from Users & Companies select groups.
3. search for "inventory" then open the "Inventory / User" group.
4. Click on Edit button and Go to "Access Rights" Tab then check the create checkbox for "product_product_stock_user" and "product.template stock user".

By doing this, The users belong to Inventory/User will able to see the create button and create product. 

Note: If you want them to edit an exists product, you need to give then write access and you can do it as above step and check the Write checkbox for  "product_product_stock_user" and "product.template stock user" access rights.