Let G be a group and Gâ€² its commutator subgroup. Denote by c G the minimal number such that every element ofGâ€² can be expressed as a product of at most c G commutators. A group G is called a c-groupâ€¦ (More)

In this paper we find a suitable bound for the number of commutators which is required to express every element of the derived group of a solvable group satisfying the maximal condition for normalâ€¦ (More)

In a free group no nontrivial commutator is a square. And in the free group F2 = F (x1, x2) freely generated by x1, x2 the commutator [x1, x2], is never the product of two squares in F2, although itâ€¦ (More)