Regarding the antigen property of the blood all human beings can be classified into four groups, those with antigen A (group A), those with antigen B (group B), those with both antigen A and B (group AB) and those with neither antigen (group O). The antibodies present together with the antigens are found as follows:
Antigen A with antibody B
Antigen B with antibody A
Antigen AB with neither antibody A nor B
Antigen null (group O) with both antibody A and BThere is an agglutination reaction between similar antigen and antibody (for example, antigen A agglutinates the antibody A and antigen B agglutinates the antibody B). Thus, transfusion can be considered safe as long as the serum of the recipient does not contain antibodies for the blood cell antigens of the donor.The ABO system is the most important blood-group system in human-blood transfusion. The associated anti-A and anti-B antibodies are usually immunoglobulin M, abbreviated IgM, antibodies. It has been hypothesized that ABO IgM antibodies are produced in the first years of life by sensitization to environmental substances such as food, bacteria, and viruses, although blood group compatibility rules are applied to newborn and infants as a matter of practice. The original terminology used by Karl Landsteiner in 1901 for the classification was A/B/C; in later publications "C" became "O". Type O is often called 0 (zero, or null) in other languages. Rh blood group system
The Rh system (Rh meaning Rhesus) is the second most significant blood-group system in human-blood transfusion with currently 50 antigens.
A favorable outcome is more likely if a kidney transplant is complemented by a liver transplant, given the disease originates in the liver. Controversy
Perhaps the key difficulty in understanding pathogenesis of primary hyperoxaluria, or more specifically, why AGXT ends up in mitochondria instead of peroxisomes, stems from AGXTs somewhat peculiar evolution. Namely, prior to its current peroxysomal destiny, AGXT indeed used to be bound to mitochondria. AGXTs peroxisomal targeting sequence is uniquely specific for mammalian species, suggesting the presence of additional peroxisomal targeting information elsewhere in the AGT molecule. As AGXT was redirected to peroxisomes over the course of evolution, it is plausible  that its current aberrant localization to mitochondria owes to some hidden molecular signature in AGXTs spatial configuration unmasked by PH1 mutations affecting the AGXT gene. References
External links

GeneReviews/NIH/NCBI/UW entry on Primary Hyperoxaluria Type 1