On intersections of two non-incident subgroups of finite p-groups

Abstract

In this paper, we investigate finite p-groups GG such that whenever A,B<GA,B\lt G are non-incident, then A∩B⊴⟨A,B⟩A\cap B\hspace{0.33em}⊴\hspace{0.33em}\langle A,B\rangle . This partially solves a problem proposed by Y. Berkovich.

Keywords

• finite p-group
• metacyclic p-group
• commutator subgroup
• 20d15