A characterization of the desarguesian planes of order q 2 by SL ( 2, q )

D. A. Foulser, N. L. Johnson and T. G. Ostrom

International Journal of Mathematics and Mathematical Sciences, 1983, vol. 6, 1-4

Abstract:

The main result is that if the translation complement of a translation plane of order q 2 contains a group isomorphic to SL ( 2 , q ) and if the subgroups of order q are elations (shears), then the plane is Desarguesian. This generalizes earlier work of Walker, who assumed that the kernel of the plane contained G F ( q ) .

Date: 1983
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:786813

DOI: 10.1155/S0161171283000551

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