Projective groups over rings

DOI10.1006/JABR.2001.9064zbMath1004.51006OpenAlexW2000725254MaRDI QIDQ1599271

Andrea Blunck

Publication date: 2002

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.2001.9064

zbMATH Keywords

permutation groupsprojective groups over ringsprojective line over rings

Mathematics Subject Classification ID

Characterization theorems for permutation groups (20B10) Ring geometry (Hjelmslev, Barbilian, etc.) (51C05)

Related Items (1)

Divisible designs, Laguerre geometry, and beyond

Cites Work

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• Characterization of chain geometries of finite dimension by their automorphism group
• Jordan homomorphisms, chain geometries and the fundamental theorem
• Permutationsgruppen ohne Pseudoinvolutionen, in deren Standgruppen die Involutionen regulär operieren
• Oktaven, Ausnahmegruppen und Oktavengeometrie
• Die Kategorie der Kettengeometrien. (The category of chain geometries)
• Eine Charakterisierung der zwischen PS-L(2,K) und PGL(2,K) liegenden Permutationsgruppen
• Reconstruction of incidence geometries from groups of automorphisms
• The theorem of Tits for \(\text{PGL}_ 2 (R)\), \(R\) being a commutative ring of stable rank 2
• Das von Staudtsche Theorem in der Geometrie der Algebren.

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