Restricted Burnside problem

Statement
For what values of $$n$$ is the restricted Burnside group $$RB(d,n)$$ finite for all $$d$$? Explicitly, for what values of $$n$$ is it true that for every natural number $$d$$, there is a finite group $$G$$ such that every finite group with exponent dividing $$n$$ and at most $$d$$ generators is a quotient group of $$G$$?

Solution
The restricted Burnside problem has been solved using work by Kostrikin and Zelmanov, and the answer is Yes for all $$n$$. The conclusion is as follows:


 * Reduction of restricted Burnside problem to associated Lie ring is a first step used in all the theorems related to the restricted Burnside problem.
 * Hall-Higman theorem on restricted Burnside problem states that the restricted Burnside problem has an answer of Yes for a particular $$n$$ if and only if it has an answer of Yes for all the maximal prime powers dividing $$n$$.
 * Kostrikin's theorem on restricted Burnside problem states that the answer is Yes for all primes.
 * Zelmanov's theorem on restricted Burnside problem states that the answer is Yes for higher prime powers, and hence, combined with the Hall-Higman theorem, gives us that it is always Yes.

Relation with Burnside problem
Note that this problem is related to the Burnside problem in the following sense: a priori, for any $$n$$ for which the answer to the Burnside problem is Yes, the answer to the restricted Burnside problem must also be Yes. Hence, for any $$n$$ for which the answer to the restricted Burnside problem is No, the answer to the Burnside problem is also No. However, it is conceivable that there are values of $$n$$ for which the answer to the Burnside problem is No but the answer to the restricted Burnside problem is Yes.

Of course, a posteriori, since the answer to the restricted Burnside problem is yes for all $$n$$, this ends up shedding no light on whether the answer to the Burnside problem is yes or no for a particular $$n$$.