Evgenii Solomonovich Golod (russian: Евгений Соломонович Голод, 21 October 1935 – 5 July 2018) was a Russian mathematician who proved the
Golod–Shafarevich theorem
In mathematics, the Golod–Shafarevich theorem was proved in 1964 by Evgeny Golod and Igor Shafarevich. It is a result in non-commutative homological algebra which solves the class field tower problem, by showing that class field towers can be ...
on
class field tower
A tower is a tall structure, taller than it is wide, often by a significant factor. Towers are distinguished from masts by their lack of guy-wires and are therefore, along with tall buildings, self-supporting structures.
Towers are specifi ...
s. As an application, he gave a negative solution to the
Kurosh–Levitzky problem on the nilpotency of finitely generated nil algebras, and so to a weak form of
Burnside's problem
The Burnside problem asks whether a finitely generated group in which every element has finite order must necessarily be a finite group. It was posed by William Burnside in 1902, making it one of the oldest questions in group theory and was inf ...
.
Golod was a student of
Igor Shafarevich
Igor Rostislavovich Shafarevich (russian: И́горь Ростисла́вович Шафаре́вич; 3 June 1923 – 19 February 2017) was a Soviet and Russian mathematician who contributed to algebraic number theory and algebraic geometr ...
. As of 2015, Golod had 39
academic descendants, most of them through his student
Luchezar L. Avramov.
Selected publications
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References
{{DEFAULTSORT:Golod, Evgeny S.
1935 births
2018 deaths
Russian mathematicians
Scientists from Moscow