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On Möbius-planes of even order

✍ Scribed by Heinz Lüneburg


Publisher
Springer-Verlag
Year
1966
Tongue
French
Weight
467 KB
Volume
92
Category
Article
ISSN
0025-5874

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📜 SIMILAR VOLUMES


Cyclic affine planes of even order
✍ K.T. Arasu 📂 Article 📅 1989 🏛 Elsevier Science 🌐 English ⚖ 446 KB

In this paper, we prove the following theorem: Suppose there exists a cyclic afhne plane of even order n. Then (a) either n = 2 or n = 0 (mod 4), and (b) for each prime divisor p of n, we have either (p/q) = 1 for each prime q 1 n2 -1 or for some positive integer r (which depends on p), n+lIp'+land