JournalsggdVol. 1 , No. 4DOI 10.4171/ggd/21

A partial extension of Lazard's correspondence for finite <var>p</var>-groups

  • George Glauberman

    University of Chicago, United States
A partial extension of Lazard's correspondence for finite <var>p</var>-groups cover

Abstract

M. Lazard established a correspondence between finite p-groups of nilpotence class less than p and finite nilpotent Lie rings of p-power order and nilpotence class less than p. This correspondence has had many applications, but cannot generally be extended to p-groups of class p or larger. However, in this paper, we obtain a partial extension of Lazard's result for a p-group that is a product of normal subgroups of class less than p.