Some applications of nearfields

DOI10.1017/S0013091500003679zbMath0447.51003MaRDI QIDQ3892867

Helmut Karzel, Günter Peter Kist

Publication date: 1980

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

loopDicksonian nearfieldsneardomainBurau-geometryMinkowski-planesMöbius-planes

Mathematics Subject Classification ID

Near-rings (16Y30) Loops, quasigroups (20N05) Minkowski geometries in nonlinear incidence geometry (51B20) Möbius geometries (51B10) Multiply transitive finite groups (20B20) Near-fields (12K05) Multiply transitive infinite groups (20B22) Representation by near-fields and near-algebras (51J20)

Related Items (3)

The hyperring of adèle classes ⋮ Generalized right near domains and sharply 2-transitive groups ⋮ In memoriam: Helmut Karzel (1928--2021)

Cites Work

• Normale Fastkörper mit kommutativer bzw. zweiseitiger Inzidenzgruppe
• Sharply 3-transitive groups of characteristic \(\equiv 1 \mod 3\)
• Sharply 2- and 3-transitive groups with kernels of finite index
• Zur Charakterisierung einer Klasse von Hyperbelstrukturen
• Projektive Inzidenzgruppoide und Fastalgebren
• An example of a projective near-field with non-projective sub-near-fields
• Ein Zassenhauskriterium für unendliche Fastkörper
• Symmetrische Permutationsmengen
• Burau-Geometrien
• The maximal sub near-field of a near-domain
• Kennzeichnung endlicher linearer Gruppen als Permutationsgruppen
• Infinite Dickson near-fields
• Isomorphe Gruppen- und Fastkörperpaare. (Isomorphic group and near-field pairs)
• Zur Theorie subaffiner Inzidenzgruppen
• A Pascal theorem applied to Minkowski geometry
• Symmetrische Minkowski-Ebenen
• Conditions of finiteness on sharply 2-transitive groups
• Quadratic Division Algebras

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