The geometry of binary systems
type: Item
instance of: scholarly article
title: The geometry of binary systems
zbMATH Open document ID: 0518.20064
DOI: 10.1016/0001-8708(83)90013-0
author: A. Barlotti
author: Karl Strambach
published in: Advances in Mathematics
publication date: 1983-01-01T00:00:00Z
Mathematics Subject Classification ID: 20N05
Mathematics Subject Classification ID: 51A15
Mathematics Subject Classification ID: 51A20
Mathematics Subject Classification ID: 22A30
Mathematics Subject Classification ID: 20B25
zbMATH DE Number: 3820049
zbMATH Keywords: quasigroups
zbMATH Keywords: nets
zbMATH Keywords: projectivities
zbMATH Keywords: free k-nets
zbMATH Keywords: group of projectivities
zbMATH Keywords: free quasigroup
zbMATH Keywords: Staudt's theorems for loops
zbMATH Keywords: locally compact and algebraic loops
zbMATH Keywords: topological loops
zbMATH Keywords: collineation group of loop
zbMATH Keywords: Amalgams of k-nets
zbMATH Keywords: Lenz classification for loops
zbMATH Keywords: conics
MaRDI profile type: Publication
full work available at URL: 0001-8708(83)90013-0
OpenAlex ID: W2035583224
cites work: Quasigroups, nets, and nomograms
cites work: Quasigroups. II
cites work: Topologies for Homeomorphism Groups
cites work: Net motions and loops
cites work: Q3862685
cites work: The Homomorphism Theorems for Loops
cites work: The group of projectivities in free-like geometries
cites work: Free Loops and Nets and Their Generalizations
cites work: Q5637102
cites work: Q4055885
cites work: Q5830135
cites work: Some Results in the Theory of Quasigroups
cites work: Some theorems on Moufang loops
cites work: Q5515384
cites work: Plans projectifs à voides pascaliens
cites work: Q5561655
cites work: Moufang loops of small order
cites work: On Cyclic Steiner 2-Designs
cites work: Q5602064
cites work: Freie und offene projektive Ebenen
cites work: Q4769064
cites work: Simple Moufang loops
cites work: Homomorphisms of Non-Associative Systems
cites work: Q5829071
cites work: Q4156946
cites work: Q5509706
cites work: Dimension der Bahnen lokal kompakter Gruppen
cites work: Q3253828
cites work: On Projective Planes of Order Nine
cites work: Universality property of free groupoid extensions of halfgroupoids and its geometrical meaning
cites work: Über die Bestimmung eines Gewebeepimorphismus durch das Urbild eines nichtsingulären Punktes
cites work: Homomorphisms of nets of fixed degree, with singular points on the same line
cites work: Q4101090
cites work: Geometric ABA-groups
cites work: Topologische Loops
cites work: Topologische Loops mit schwachen Assoziativitätsforderungen
cites work: Topologische Doppelloops
cites work: Topologische distributive Doppelloops
cites work: Topological Loops With Invariant Uniformities
cites work: Transformation Groups in the Theory of Topological Loops
cites work: Lie loops with invariant uniformities
cites work: Planar Division Neo-Rings
cites work: Additive and Multiplicative Loops of Planar Ternary Rings
cites work: Endliche Gruppen I
cites work: Q5820592
cites work: Composition algebras and their automorphisms
cites work: Triality and Lie algebras of type \(D_4\)
cites work: Q3873095
cites work: Q5534251

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cites work: Q5848903

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cites work: Representability of group functors, and automorphisms of algebraic schemes

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cites work: Q5586507

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cites work: Q4064611

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cites work: Entartete Steinerkegelschnitte in nichtpapposschen Desarguesebenen

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cites work: Malcev Algebras

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cites work: Automorphisms of finite groups

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cites work: Topological projective planes

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cites work: Zur Klassifikation topologischer Ebenen. I, II

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cites work: On free extensions of Rank 1

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cites work: Homotopiäquivalente kompakte Liesche Gruppen

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cites work: Restklassenräume kompakter zusammenhängender Gruppen mit Schnitt

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cites work: Über die Gruppe der Projektivitäten in nichtgeschlossenen Ebenen

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cites work: Freie Erweiterungen in der affinen Geometrie und in der Geometrie der Kreise. I; II

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cites work: A characterization of free projective planes

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cites work: Q5522742

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cites work: Rechtsdistributive Quasigruppen auf 1-Mannigfaltigkeiten

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cites work: Mehrfach scharf transitive Liesche Moufang-Loops

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cites work: Q5686690

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cites work: Abelian Steiner Triple Systems

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cites work: Sur les groupes doublement transitifs continus. Correction et compléments

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cites work: Doppelloops und Ternärkörper