Efim Isaakovich ZelmanovBorn 7 Sep 1955.Russian mathematician who was awarded the 1994 Fields Medal for his work on combinatorial problems in nonassociative algebra and group theory and particularly his solution of the Restricted Burnside problem. His Ph.D. (1980) Ph.D. thesis was on nonassociative algebra, wherein his treatment extending results from the classical theory of finite dimensional Jordan algebras to infinite dimensional Jordan algebras. In 1887, he showed that the Engel identity for Lie algebras implies nilpotence, in the previously unsolved case of infinite dimensions. The Restricted Burnside problem that he solved was a narrower condition arising out of Burnside's 1902 question whether a finitely generated group in which every element has finite order, is finite.« |
