1. A only had 1/2 undivided share in the flat
2. The GPA transfer by mother to A for her half share whereby A became absolute owner, is illegal as no transfer of property can happen through a GPA
3. Thus A could make a gift deed only for his original half share in flat to his two brothers
4. The mother continued to remain owner of the flat for her half share. Technically her half share could have been transferred to A only through a registered release deed or under a registered gift deed if there was no consideration
5. As mother has passed away, her half share in flat will go to her legal heirs. So they need to obtain letter of administration from court and transfer her half share under a registered transfer deed to B and C
6. Only then can B and C be said to have clear title in respect of the full flat
7. PoA given by C to B has to be registered. The procedure which they have followed is correct. Just check that the GPA must be registered
8. You do not need to check the divorce papers of A as it has got nothing to do with the flat sale.
9. It is advisable to make A a confirming party in your sale deed
10. As long as A is living, his son has no right in his father's property