A characterization of the desarguesian planes of order q2 by SL(2,q)
The main result is that if the translation complement of a translation plane of order q2 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 con...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
1983-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Subjects: | |
Online Access: | http://dx.doi.org/10.1155/S0161171283000551 |