Geodesic
The Schreier Technique for Subalgebras of a Free Lie Algebra
Canadian journal of mathematics, Tome 49 (1997) no. 3, pp. 600-616

Voir la notice de l'article provenant de la source Cambridge University Press

In group theory Schreier's technique provides a basis for a subgroup of a free group. In this paper an analogue is developed for free Lie algebras. It hinges on the idea of cutting a Hall set into two parts. Using it, we show that proper subalgebras of finite codimension are not finitely generated and, following M. Hall, that a finitely generated subalgebra is a free factor of a subalgebra of finite codimension.
DOI : 10.4153/CJM-1997-028-8
Mots-clés : 17B01 
Rosset, Shmuel; Wasserman, Alon. The Schreier Technique for Subalgebras of a Free Lie Algebra. Canadian journal of mathematics, Tome 49 (1997) no. 3, pp. 600-616. doi: 10.4153/CJM-1997-028-8
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1997-028-8/}
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