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A family of translation planes of order q3

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Abstract

In this note, some new class of translation planes of order q3, where q is an odd prime power with q ≠ 3,7, are constructed. The translation complement of any plane of this class has three orbits lengths 1, 1 and q3-1 on 1∞.

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References

  1. ANDRÉ, J.: Über nicht-Desarguesche Ebenen mit transitiver Translationgruppe. Math. Z.60 (1954), 156–186

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  2. HIRAMINE, Y.: On Translation Planes of Order q3 with an Orbit of Length q -1 on 1∞. Osaka J. Math.23 (1986), 563–575

    Google Scholar 

  3. LÜNEBURG, H.: Translation Planes. Springer-Verlag, Berlin-Heidelberg-New York 1980

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  4. OYAMA, T.: On Quasif ields. Osaka J. Math.22 (1985), 35–54

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  5. SUETAKE, C.: A New Class of Translation planes of Order q3. Osaka J. Math.22 (1985), 773–786

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  1. Amagasakiminami High School, Amagasaki, 660, Hyogo, Japan

    Chihiro Suetake

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  1. Chihiro Suetake
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Suetake, C. A family of translation planes of order q3 . J Geom 45, 174–176 (1992). https://doi.org/10.1007/BF01225775

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  • DOI: https://doi.org/10.1007/BF01225775

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