Step 1: Identify the parental genotypes.
Homozygous A blood group:
\[
I^A I^A
\]
Homozygous B blood group:
\[
I^B I^B
\]
Step 2: Determine the genotype of offspring.
Cross:
\[
I^A I^A \times I^B I^B
\]
All offspring receive one \(I^A\) allele and one \(I^B\) allele.
\[
\boxed{I^A I^B}
\]
Hence, all children will have
\[
\boxed{\text{AB blood group}.}
\]
Step 3: Identify the blood groups not expected.
Since only AB blood group is produced,
\[
\boxed{\text{A, B and O blood groups are not expected}.}
\]
Therefore,
\[
\boxed{(B)}
\]
is the correct answer.