Evgeny Golod
Evgenii Solomonovich Golod (Russian: Евгений Соломонович Голод, October 21, 1935 – July 5, 2018) was a Russian mathematician who proved the Golod–Shafarevich theorem on class field towers. 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.
Golod was a student of Igor Shafarevich. As of 2015, Golod had 39 academic descendants, most of them through his student Luchezar L. Avramov.[1]
Selected publications
- Golod, E.S; Shafarevich, I.R. (1964), "On the class field tower", Izv. Akad. Nauk SSSSR (in Russian), 28: 261–272, MR 0161852
- Golod, E.S (1964), "On nil-algebras and finitely approximable p-groups.", Izv. Akad. Nauk SSSSR (in Russian), 28: 273–276, MR 0161878
gollark: Functor: has `map`, lets you run an `a → b` over a `f a` to get a `f b`Applicative: has `<*>`, lets you run a `f (a → b)` over a `f a` to get a `f b` and `pure`, which lets you get a `f a` from an `a`Monad: has `join`, which does `f (f a)) → f a` or alternately `bind`, which is `f a → (a → f b) → f b`.
gollark: Ah yes.
gollark: An applicative is a functor with, er, `<*>` or something.
gollark: A monad is an applicative with bind/join.
gollark: Specs can be made first-class after a function exists.
References
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