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Planes Admitting Many Shears

In: Translation Planes

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  • Heinz Lüneburg

    (Universität Kaiserslautern, FB Mathematik)

Abstract

Next we collect results about unitary groups, we prove a characterization of A5 which I extracted from J. Assion’s Diplomarbeit, and we give a characterization of Galoisfields of odd characteristic due to A. A. Albert. All this is done in order to prove Hering’s & Ostrom’s theorem on collineation groups of translation planes generated by shears.

Suggested Citation

  • Heinz Lüneburg, 1980. "Planes Admitting Many Shears," Springer Books, in: Translation Planes, chapter 0, pages 151-180, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-67412-9_5
    DOI: 10.1007/978-3-642-67412-9_5
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