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1 results

  • Bireflectionality in Absolute Geometry

  • Dragoslav Ljubić
  • Journal:
    Canadian Mathematical Bulletin / Volume 32 / Issue 1 / 01 March 1989
    Published online by Cambridge University Press:
    20 November 2018, pp. 54-63
    Print publication:
    01 March 1989
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  • If G is any group then g ∊ G is called an involution if g ≠ 1 and g o g = 1. A group G is called bireflectional if every element in G is a product of two involutions. It is known that 2- dimensional, 3- dimensional, and some types of n-dimensional (n > 3) absolute geometries (in the sense of H. Kinder) are bireflectional. In this article the author proves the general result that every n-dimensional absolute geometry is bireflectional.