
Journal of Lie Theory 11 (2001), No. 2, 459468 Copyright Heldermann Verlag 2001 On a Special Class of Frobenius Groups Admitting Planar Partitions Peter Maier Fachberich Mathematik, Technische Universitaet, Schlossgartenstr. 7, 64289 Darmstadt, Germany Among all Frobenius Lie groups having a complement isomorphic either to C^{´} or to H^{´} and a kernel which is a vector group those are determined that admit a planar partition into closed subgroups. Moreover, it is shown that for each of these groups the exponential function induces a bijection between the set of planar partitions of the group and the set of planar partitions of the associated Lie algebra. [ Fulltextpdf (173 KB)] 