FTP, identify this founder of group theory  for whom a type of commutative group is named.
Unable to find a professorship, this native of Finnoy died at  the age of 26 of tuberculosis, which had been aggravated by the  poverty in which he lived. At sixteen, he generalized the binomial  theorem to include all numbers, and three years later, he proved  the impossibility of finding a general solution for expressions of  fifth degree or higher. FTP, identify this founder of group theory  for whom a type of commutative group is named.
Unable to find a professorship, this native of Finnoy died at  the age of 26 of tuberculosis, which had been aggravated by the  poverty in which he lived.
Niels Henrik {Abel}