Homology of the group of automorphisms of \(k[x,y]\)

DOI10.1016/0022-4049(79)90027-6zbMath0415.13006OpenAlexW2024018641MaRDI QIDQ599864

Roger C. Alperin

Publication date: 1979

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(79)90027-6

zbMATH Keywords

affine plane automorphism grouphomology sequencePolynomial ring

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Low codimension problems in algebraic geometry (14M07) Relevant commutative algebra (14A05) Homological algebra in category theory, derived categories and functors (18G99) Homological methods in commutative ring theory (13D99)

Related Items

Automorphism group of Green ring of Sweedler Hopf algebra ⋮ An elementay proof of the automorphism theorem for the polynomial ring in two variables ⋮ Un automorphisme non modéré deU(g₃) ⋮ On the finite subgroups of \(\text{Aut}U({\mathfrak sl}_2)\) and \(\text{Aut}U({\mathfrak h})\) ⋮ Two-Dimensional Cremona Groups Acting on Simplicial Complexes ⋮ Automorhisms of enveloping algebras

Cites Work

• On the absence of nontrivial separable forms of the affine plane
• Localisation in the K-theory of invertible algebras
• Homology and central series of groups
• The structure of the automorphism group of polynomial rings
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item