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Sulla struttura dei gruppi finiti e continui. (Italian) JFM 36.0217.02
Von {\it Killing} (Math. Ann. {\it 34}, 107) wurde der Satz ausgesprochen, daß jede endliche kontinuierliche Transformationsgruppe, die nicht halbeinfach oder integrabel ist, sich aus einer invarianten integrabeln und einer halbeinfachen Gruppe zusammensetzen läß t. Nach {\it E. Cartans} bekannter Thèse “Sur la structure des groupes de transformations finis et continus” (Paris 1894, S. 115 und 128) ist {\it Killing}s Beweis unzulänglich. {\it Cartan} selbst beweist das Theorem nur in einem speziellen Falle, Verf. beweist es auf Grund der {\it Killing-Cartan}schen Untersuchungen ganz allgemein.
Reviewer: Loewy, Prof. (Freiburg i. B.)