Bireflectionality in Absolute Geometry
Canadian mathematical bulletin, Tome 32 (1989) no. 1, pp. 54-63
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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.
Ljubić, Dragoslav. Bireflectionality in Absolute Geometry. Canadian mathematical bulletin, Tome 32 (1989) no. 1, pp. 54-63. doi: 10.4153/CMB-1989-008-6
@article{10_4153_CMB_1989_008_6,
author = {Ljubi\'c, Dragoslav},
title = {Bireflectionality in {Absolute} {Geometry}},
journal = {Canadian mathematical bulletin},
pages = {54--63},
year = {1989},
volume = {32},
number = {1},
doi = {10.4153/CMB-1989-008-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-008-6/}
}
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