Affiliation:
1. Basic Courses Department, Tianjin Sino-German University of Applied Sciences , Tianjin , China
Abstract
Abstract
In this paper, we investigate finite p-groups
G
G
such that whenever
A
,
B
<
G
A,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.