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Rank-3-Planes

Heinz Lüneburg
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Heinz Lüneburg: Universität Kaiserslautern, FB Mathematik

Chapter Chapter III in Translation Planes, 1980, pp 68-103 from Springer

Abstract: Abstract This chapter starts with Wagner’s celebrated theorem that finite line transitive affine planes are translation planes. This theorem is used in the proof of Kallaher’s & Liebler’s theorem on affine planes of rank 3. Finally, rank-3-planes with an orbit of length 2 on l∞ are investigated.

Keywords: Normal Subgroup; Translation Plane; Translation Group; Affine Plane; Collineation Group (search for similar items in EconPapers)
Date: 1980
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-67412-9_3

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DOI: 10.1007/978-3-642-67412-9_3

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