Journal of Lie Theory

no. 2
On a Special Class of Frobenius Groups Admitting Planar Partitions
Journal of Lie Theory, Volume 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.
DOI: 10.5802/jolt.242
Classification: 22E15, 51A15, 22E20, 22E25, 22F50, 51H10, 51H20, 51J05
Keywords: groups with partition, stable planes, compact spread, locally compact translation planes 
@article{JOLT_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},
     doi = {10.5802/jolt.242},
     zbl = {0977.22003},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.242/}
}
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P. Maier. On a Special Class of Frobenius Groups Admitting Planar Partitions. Journal of Lie Theory, Volume 11 (2001) no. 2, pp. 459-468. doi: 10.5802/jolt.242

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