arXiv:1604.04945 Abstract | arXiv Analytics

arXiv:1604.04945 [math.CO]Abstract References Reviews Resources

Affine planes, ternary rings, and examples of non-Desarguesian planes

Published 2016-04-18Version 1

The paper is devoted to a detailed self-contained exposition of a part of the theory of affine planes leading to a construction of affine (or, equivalently, projective) planes not satisfying the Desarques axiom. It is intended to complement the introductory expositions of the theory of affine and projective planes. A novelty of our exposition is a new notation for the ternary operation in a ternary ring, much more suggestive than the standard one.

Comments: 25 pages

Categories: math.CO

Subjects: 51E15, 51A35, 12K99

Keywords: affine planes, non-desarguesian planes, ternary ring, introductory expositions, ternary operation

Related articles: Most relevant | Search more

arXiv:2411.19202 [math.CO] (Published 2024-11-28)

Points below a parabola in affine planes of prime order

Sam Adriaensen, Zsuzsa Weiner

arXiv:2308.15000 [math.CO] (Published 2023-08-29)

Optimal Data Distribution for Big-Data All-to-All Comparison using Finite Projective and Affine Planes

Joanne L. Hall, Wayne Kelly, Yu-Chu Tian

arXiv:2210.11961 [math.CO] (Published 2022-10-21)