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.
Cite this article
George Glauberman, A partial extension of Lazard's correspondence for finite <var>p</var>-groups. Groups Geom. Dyn. 1 (2007), no. 4, pp. 421–468DOI 10.4171/GGD/21