A generalization of Singer’s theorem

Hale, Mark P.; Jungnickel, Dieter

doi:10.1090/S0002-9939-1978-0500494-5

A generalization of Singer’s theorem
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by Mark P. Hale and Dieter Jungnickel

Proc. Amer. Math. Soc. 71 (1978), 280-284

DOI: https://doi.org/10.1090/S0002-9939-1978-0500494-5

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Abstract:

Finite pappian Klingenberg planes and finite desarguesian uniform Hjelmslev planes admit abelian collineation groups acting regularly on the point and line sets; this generalizes Singer’s theorem on finite desarguesian projective planes.

References

Éléments de mathématique

Algèbre commutative

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