Journal ArticleDOI
On finite line transitive affine planes
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This article is published in Geometriae Dedicata.The article was published on 1973-06-01. It has received 18 citations till now. The article focuses on the topics: Affine plane & Finite geometry.read more
Citations
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Journal ArticleDOI
Finite linear spaces with flag-transitive groups
TL;DR: The O'Nan-Scott theorem on primitive permutation groups is used to prove the main result: any group acting flag-transitively on a finite linear space is either of affine type or of simple type.
Journal ArticleDOI
The Classification of Finite Linear Spaces with Flag-Transitive Automorphism Groups of Affine Type
TL;DR: This paper contributes part of the proof of the classification of the pairs (S, G), where S is a non-trivial finite linear space and G is a group of automorphisms of S acting transitively on the flags of S.
Journal ArticleDOI
A note on the derived semifield planes of order 16
TL;DR: In this paper, it was shown that there is a generalized Hall plane of order q 2 that can be derived from a semidifield of order 16 and kern GF(4).
Journal ArticleDOI
Construction of two-dimensional flag-transitive planes
R. D. Baker,Gary L. Ebert +1 more
TL;DR: In this article, a method is given for constructing all two-dimensional flag-transitive affine planes of odd order, subsuming the infinite family mentioned above, and an infinite family of non-Desarguesian flagtransitive planes has been found.
Book ChapterDOI
Chapter 5 – Translation Planes
TL;DR: A translation plane is an affine plane II whose translation group T (II) is (sharply) transitive on the affine points as discussed by the authors, and every coordinatizing ternary ring of a translation plane (with respect to the line l∞ ) is quasified.
References
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Journal ArticleDOI
The Characterization of Finite Groups with Abelian Sylow 2-Subgroups
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The characterization of finite groups with dihedral Sylow 2-subgroups. I☆
Daniel Gorenstein,John H. Walter +1 more
TL;DR: In this paper, the second part of three parts of the first part of this article are presented. A description of the contents may be found in the introduction given in this journal, volume 2, no. 1, pp. 85-151 (April 1965).