On Products of Cyclic and Non-Abelian Finite p-Groups

Abstract

For an odd prime p we present some results concerning the structure of factorised finite p-groups of the form G = AB, where A is a cyclic subgroup and B is a nonabelian subgroup whose class does not exceed p/2 in most cases. Bounds for the derived length of such groups are also presented.

Keywords

• product of groups
• factorised group
• finite p-group