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Journal of Lie Theory 11 (2001), No. 2, 459--468
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.

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