The theorem of Tits for \(\text{PGL}_ 2 (R)\), \(R\) being a commutative ring of stable rank 2

DOI10.1007/BF00147809zbMath0861.51002MaRDI QIDQ1922797

Armin Herzer

Publication date: 12 November 1996

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

stable rankprojectivityprojective line

Mathematics Subject Classification ID

Infinite automorphism groups (20B27) Ring geometry (Hjelmslev, Barbilian, etc.) (51C05)

Related Items (2)

Divisible designs, Laguerre geometry, and beyond ⋮ Projective groups over rings

Cites Work

• Unnamed Item
• Characterization of chain geometries of finite dimension by their automorphism group
• Permutationsgruppen ohne Pseudoinvolutionen, in deren Standgruppen die Involutionen regulär operieren
• Tits's theorem for the group \(PGL_ 2(L)\), L a not necessarily commutative local ring
• Characterization of strong chain geometries by their automorphism group
• The projective line over a ring which is direct product of commutative fields

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