JournalsggdVol. 1, No. 4pp. 421–468

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
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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.

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

DOI 10.4171/GGD/21