Flag-transitive affine planes of order at most 125
type: Item
instance of: scholarly article
title: Flag-transitive affine planes of order at most 125
zbMATH Open document ID: 0979.51003
DOI: 10.1007/BF01220311
author: Alan R. Prince
published in: Journal of Geometry
publication date: 2002-02-17T00:00:00Z
review text: The author completes the determination of all flag-transitive affine planes of order at most 125. Since a classification of planes with non-solvable collineation groups was known for a long time, it remains to show that all planes with solvable collineation group are obtained by constructions due to Kantor and Suetake. Building on previous work, the tough part is to find all planes of order~81. This is done in the paper. A computer search in orders 16 and 32 completes the proof.
reviewed by: Hubert Kiechle
Mathematics Subject Classification ID: 51E15
zbMATH DE Number: 1443436
zbMATH Keywords: affine plane
zbMATH Keywords: flag-transitive
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1443436