Recent developments on absolute geometries and algebraization by K-loops
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Publication:1808805
DOI10.1016/S0012-365X(99)00085-0zbMath0941.51002OpenAlexW2084909919WikidataQ126803871 ScholiaQ126803871MaRDI QIDQ1808805
Publication date: 30 July 2000
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0012-365x(99)00085-0
Incidence structures embeddable into projective geometries (51A45) Absolute spaces in metric geometry (51F10) Algebraization in linear incidence geometry (51A25)
Related Items (24)
Unit balls, Lorentz boosts, and hyperbolic geometry ⋮ Reflection geometries over loops ⋮ Point-reflection geometries, geometric K-loops and unitary geometries ⋮ The reflection structures of generalized co-Minkowski spaces leading to \(K\)-loops ⋮ Web loops and webs with reflections ⋮ On characterization of absolute geometries ⋮ Defect and area in Beltrami-Klein model of hyperbolic geometry ⋮ Loops, reflection structures and graphs with parallelism. ⋮ Relations among certain classes of incidence loops, codes and chain structures. ⋮ The defect in an invariant reflection structure ⋮ Loops with two-sided inverses constructed by a class of regular permutation sets. ⋮ Slid product of loops: a generalization. ⋮ Spaces with congruence ⋮ Introduction of measures for segments and angles in a general absolute plane ⋮ Binary operations derived from symmetric permutation sets and applications to absolute geometry ⋮ Symmetric sets with midpoints and algebraically equivalent theories ⋮ Symmetric spaces with convex metrics ⋮ Means on dyadic symmetric sets and polar decompositions ⋮ On algebraic structures related to Beltrami-Klein model of hyperbolic geometry ⋮ Connections between loops of exponent 2, reflection structures and complete graphs with parallelism ⋮ In memoriam: Helmut Karzel (1928--2021) ⋮ Extension of a class of fibered loops to kinematic spaces ⋮ Left loops, bipartite graphs with parallelism and bipartite involution sets. ⋮ Relations between the K-loop and the defect of an absolute plane
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