The Theorem of Totten for planar spaces

It is shown that an irreducible planar space S with v points and π planes such that n3 ≤ v < (n + 1)3 and π ≤ v + n2 + n for some integer n ≥ 4 exists iff n is a prime power and S either can be embedded in P G(3, n), or S is the affine space AG(3, n) with a generalized projective 3-space at in...

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Bibliographic Details
Main Author: K. METSCH
Format: Article
Language:English
Published: Sapienza Università Editrice 1995-02-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1995(2)/211-232.pdf