On a Special Class of Frobenius Groups Admitting Planar Partitions
Journal of Lie theory, Tome 11 (2001) no. 2, pp. 459-468
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},
year = {2001},
volume = {11},
number = {2},
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/