MathDB
Miklos Schweitzer 1973_1

Source:

November 12, 2008
group theoryabstract algebralinear algebramatrixmodular arithmeticGalois Theorysuperior algebra

Problem Statement

We say that the rank of a group G G is at most r r if every subgroup of G G can be generated by at most r r elements. Prove that here exists an integer s s such that for every finite group G G of rank 2 2 the commutator series of G G has length less than s s. J. Erdos