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Help with a basic query please

Help with a basic query please

Help with a basic query please

(OP)
Hey everyone. My first post, so a little about myself:

I'm a recent American college grad working for a small software firm here in the UK. I'm new to mySQL as I was trained on Oracle8i in school.

Anyway, as for my question:

I've got two tables; products and suppliers.

The supplier table is huge and contains a list of all products that each supplier sells. The product table contains information about each product and the tables are related using the product code.

I'd like to get from the supplier table the name of the supplier that has the cheapest price for any given product.

What I've got so far is this:
SELECT product.code, supplier.name, min(supplier.cost) FROM supplier, products WHERE supplier.prodCode = product.code GROUP BY product.code;

The problem is that I get all the same supplier name even though the lowest cost is still displayed correctly.
If I remove the min function and the group by clause, I get the correct info, but then I have to sift through it myself and I'd like to avoid that if at all possible.

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