Geodesic
On the Associated Lie Ring and the Adjoint Group of a Radical Ring
Canadian mathematical bulletin, Tome 27 (1984) no. 2, pp. 215-222

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

We investigate connections between the associated Lie ring and the adjoint group of a radical ring, studying their upper central chains. Part of a conjecture of S. A. Jennings is proved, and one of our results improves a theorem of his.
DOI : 10.4153/CMB-1984-031-4
Mots-clés : 16A22 
Laue, Hartmut. On the Associated Lie Ring and the Adjoint Group of a Radical Ring. Canadian mathematical bulletin, Tome 27 (1984) no. 2, pp. 215-222. doi: 10.4153/CMB-1984-031-4
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[1] 1. Jacobson, N., Lie Algebras, Wiley, New York-London 1962. Google Scholar

[2] 2. Jennings, S. A., The group ring of a class of infinite nilpotent groups, Canad. J. Math. 7 (1955), 169–187. Google Scholar

[3] 3. Jennings, S. A., Radical rings with nilpotent associated groups, Trans. Roy. Soc. Can. 49 ser. Ill (1955), 31–38. Google Scholar

[4] 4. Kaloujnine, L., Über gewisse Beziehungen zwischen einer Gruppe und ihren Automorphismen, Ber. math. Tagung Berlin 1953. Google Scholar

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