Geodesic
Solvable Groups of Unipotent Elements in a Ring
Canadian mathematical bulletin, Tome 25 (1982) no. 2, pp. 187-190

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Let R be a ring with 1 whose nil subrings are nilpotent modulo the sum of nilpotent ideals. It is proved that if G is a locally solvable group of unipotent elements in R, then the subring generated by {g −1 g ∈ G} is nil. This result implies a result of Sizer showing that a solvable group of unipotent matrices over a skew field can be simultaneously triangularized.
DOI : 10.4153/CMB-1982-025-6
Mots-clés : 16A22, 16A42 
Klein, Abraham A. Solvable Groups of Unipotent Elements in a Ring. Canadian mathematical bulletin, Tome 25 (1982) no. 2, pp. 187-190. doi: 10.4153/CMB-1982-025-6
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     title = {Solvable {Groups} of {Unipotent} {Elements} in a {Ring}},
     journal = {Canadian mathematical bulletin},
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     year = {1982},
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     number = {2},
     doi = {10.4153/CMB-1982-025-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-025-6/}
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