Finite group actions on \(P^ 2({\mathbb{C}})\)

DOI10.1016/0021-8693(88)90203-7zbMath0659.20041OpenAlexW2087324628MaRDI QIDQ1112177

Ronnie Lee, Ian Hambleton

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90203-7

zbMATH Keywords

finite grouprepresentation spacecomplex projective planeintegral homologylocally linear actionsubgroup of \(PGL_ 3({\mathbb{C}})\)

Mathematics Subject Classification ID

Geometric group theory (20F65) Finite transformation groups (57S17) Cohomology theory for linear algebraic groups (20G10)

Related Items (12)

Irreducible adjoint representations in prime power dimensions, with an application ⋮ Smooth group actions on definite 4-manifolds and moduli spaces ⋮ On the locus of smooth plane curves with a fixed automorphism group ⋮ A surface of maximal canonical degree ⋮ Finite group actions on 4-manifolds with nonzero Euler characteristic ⋮ Symmetries of homology complex projective planes ⋮ Finite isometry groups of 4-manifolds with positive sectional curvature ⋮ Characterization of the Fermat curve as the most symmetric nonsingular algebraic plane curve ⋮ Group actions, divisors, and plane curves ⋮ Collapsed 5-manifolds with pinched positive sectional curvature ⋮ Which finite groups act smoothly on a given 4-manifold? ⋮ Perturbation of equivariant moduli spaces

Cites Work

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• Topologische Untersuchung der Diskontinuitätsbereiche endlicher Bewegungsgruppen des dreidimensionalen sphärischen Raumes
• Transformation Groups on Cohomology Projective Spaces
• Determination of a Certain Family of Finite Metabelian Groups

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