gardenmum, you're a little confused...
Homo is NOT the dominant gene. Homozygous means that there are two copies of the same gene. That could mean two copies of the dominant gene, or two copies of the recessive gene; you just need two of the same.
Het, or heterozygous, means that you have two different genes. Typically this means you have one copy of a dominant gene and one copy of a recessive gene, but it can ALSO mean that you have one copy of two -different- codominant genes.
-Kat