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Solution to a question of A. Beutelspacher on finite linear spaces

✍ Scribed by Aiden A. Bruen

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 93 KB
Volume: 129
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(92)00515-s

No coin nor oath required. For personal study only.

✦ Synopsis

We show that the answer to the following question of A. Beutelspacher is negative. For a finite linear space S on u points with b lines, if v equals the dimensions of the row space of any b x v-incidence matrix for S, does S necessarily have at least one line containing exactly two points?

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