On finite -groups that are the product of a subgroup of class two and an abelian subgroup of order
Brendan McCann
Waterford Institute of Technology, Ireland
![On finite $p$-groups that are the product of a subgroup of class two and an abelian subgroup of order $p^3$ cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-rsmup-volume-136.png&w=3840&q=90)
Abstract
In this note it is shown that if is a finite -group that is the product of an abelian subgroup of order and a subgroup of nilpotency class two, then can have derived length at most three.
Cite this article
Brendan McCann, On finite -groups that are the product of a subgroup of class two and an abelian subgroup of order . Rend. Sem. Mat. Univ. Padova 136 (2016), pp. 1–10
DOI 10.4171/RSMUP/136-1