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Bireflectionality in Absolute Geometry

Published online by Cambridge University Press:  20 November 2018

Dragoslav Ljubić
Dragoslav Ljubić*
Affiliation:
University of Washington, Seattle, Washington
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Abstract

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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.

Keywords

51F1020G15
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 32 , Issue 1 , 01 March 1989 , pp. 54 - 63
Copyright
Copyright © Canadian Mathematical Society 1989

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