# On finite $p$-groups that are the product of a subgroup of class two and an abelian subgroup of order $p^3$

### Brendan McCann

Waterford Institute of Technology, Ireland

## Abstract

In this note it is shown that if $G = AB$ is a finite $p$-group that is the product of an abelian subgroup $A$ of order $p^3$ and a subgroup $B$ of nilpotency class two, then $G$ can have derived length at most three.

## Cite this article

Brendan McCann, On finite $p$-groups that are the product of a subgroup of class two and an abelian subgroup of order $p^3$. Rend. Sem. Mat. Univ. Padova 136 (2016), pp. 1–10

DOI 10.4171/RSMUP/136-1