Center-by-metabelian groups of prime exponent

Jay I. Miller
1979 Transactions of the American Mathematical Society  
We show that a center-by-metabelian group of prime exponent/» is nilpotent of class at most p, and this result is best possible. The proof is based on techniques dealing with varieties of groups.
doi:10.1090/s0002-9947-1979-0526319-5 fatcat:67xikewpd5butp3bnv4rvkjlg4