Geodesic
A partial extension of Lazard's correspondence for finite $p$-groups
George Glauberman1
1University of Chicago, United States
Groups, geometry, and dynamics, Tome 1 (2007) no. 4, pp. 421-468

Voir la notice de l'article provenant de la source EMS Press

DOI

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.
DOI : 10.4171/ggd/21
Classification : 20-XX, 00-XX
Mots-clés : Finite <var>p</var>-groups, Lie algebras

George Glauberman  1

1 University of Chicago, United States 
George Glauberman. A partial extension of Lazard's correspondence for finite $p$-groups. Groups, geometry, and dynamics, Tome 1 (2007) no. 4, pp. 421-468. doi: 10.4171/ggd/21
@article{10_4171_ggd_21,
     author = {George Glauberman},
     title = {A partial extension of {Lazard's} correspondence for finite $p$-groups},
     journal = {Groups, geometry, and dynamics},
     pages = {421--468},
     year = {2007},
     volume = {1},
     number = {4},
     doi = {10.4171/ggd/21},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/21/}
}
TY  - JOUR
AU  - George Glauberman
TI  - A partial extension of Lazard's correspondence for finite $p$-groups
JO  - Groups, geometry, and dynamics
PY  - 2007
SP  - 421
EP  - 468
VL  - 1
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4171/ggd/21/
DO  - 10.4171/ggd/21
ID  - 10_4171_ggd_21
ER  - 
%0 Journal Article
%A George Glauberman
%T A partial extension of Lazard's correspondence for finite $p$-groups
%J Groups, geometry, and dynamics
%D 2007
%P 421-468
%V 1
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/21/
%R 10.4171/ggd/21
%F 10_4171_ggd_21

Cité par Sources :