2 papers
math.GR2024
On soluble groups in which commutators have prime power order
Mateus Figueiredo, Pavel Shumyatsky
The article deals with finite groups in which commutators have prime power order (CPPO-groups). We show that if G is a soluble CPPO-group, then the order of the commutator subgroup…
math.GR2023
Finite groups in which every commutator has prime power order
Mateus Figueiredo, Pavel Shumyatsky
Finite groups in which every element has prime power order (EPPO-groups) are nowadays fairly well understood. For instance, if is a soluble EPPO-group, then the Fitting height…