|
Journal of Lie Theory 16 (2006), No. 4, 777--789 Copyright Heldermann Verlag 2006 Wielandt's Results for Algebraic k-Groups Maurizio Valsecchi Mathematisches Institut, Universität Erlangen-Nürnberg, Bismarckstr. 1 1/2, 91054 Erlangen, Germany and: Bolyai Institute, University of Szeged, Aradi vertanuk tere 1, 6720 Szeged, Hungary We analyze the relation between subnormality and nilpotence, the subnormal joint property, some criteria of subnormality, the norm and the Wielandt subgroup in the case of algebraic groups defined over an arbitrary field. Keywords: Subnormality, nilpotency in algebraic groups, norm, Wielandt subgroup of an algebraic group. MSC: 20G15, 20F99 [ Fulltext-pdf (190 KB)] for subscribers only. |