On a Special Class of Frobenius Groups Admitting Planar Partitions
Journal of Lie theory, Tome 11 (2001) no. 2, pp. 459-468
Voir la notice de l'article provenant de la source Heldermann Verlag
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.
@article{JLT_2001_11_2_JLT_2001_11_2_a9,
author = {P. Maier },
title = {On a {Special} {Class} of {Frobenius} {Groups} {Admitting} {Planar} {Partitions}},
journal = {Journal of Lie theory},
pages = {459--468},
publisher = {mathdoc},
volume = {11},
number = {2},
year = {2001},
url = {http://geodesic.mathdoc.fr/item/JLT_2001_11_2_JLT_2001_11_2_a9/}
}
P. Maier . On a Special Class of Frobenius Groups Admitting Planar Partitions. Journal of Lie theory, Tome 11 (2001) no. 2, pp. 459-468. http://geodesic.mathdoc.fr/item/JLT_2001_11_2_JLT_2001_11_2_a9/