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Double-(2n + 1) Configurations in PG(2n + 1, 2)

✍ Scribed by T.P. McDonough

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
90 KB
Volume
19
Category
Article
ISSN
0195-6698

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✦ Synopsis

In this paper we establish the existence of a configuration in PG(2n + 1, 2), n ≥ 2, a particular case of which is described in detail in [3]. The general configuration consists of two sets of 2 n + 1 spaces of dimension n related by a bijection so that two related n-spaces meet in an (n -1)-space, two unrelated n-spaces from different sets meet in a point and distinct n-spaces from the same set are disjoint. We determine the full group of linear automorphisms of these configurations and show that, for each n ≥ 3, those in PG(2n + 1, 2) are not all projectively equivalent to one another.

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