Finite Hjelmslev planes with new integer invariants

Drake, David A.; Lenz, Hanfried

doi:10.1090/S0002-9904-1976-14016-5

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Finite Hjelmslev planes with new integer invariants
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by David A. Drake and Hanfried Lenz PDF

Bull. Amer. Math. Soc. 82 (1976), 265-267

References

B. Artmann, Existenz und projektive Limiten von Hjelmslev-Ebenen $n$-ter Stufe, Atti del Convegno di Geometria Combinatoria e sur Applicazioni (Univ. Perugia, Perugia, 1970) Ist. Mat., Univ. Perugia, Perugia, 1971, pp. 27–41 (German, with English summary). MR 0343166
David A. Drake, Nonexistence results for finite Hjelmslev planes, Abh. Math. Sem. Univ. Hamburg 40 (1974), 100–110. MR 338913, DOI 10.1007/BF02993588
Erwin Kleinfeld, Finite Hjelmslev planes, Illinois J. Math. 3 (1959), 403–407. MR 107209
Wilhelm Klingenberg, Projektive und affine Ebenen mit Nachbarelementen, Math. Z. 60 (1954), 384–406 (German). MR 65938, DOI 10.1007/BF01187385