Group actions on the complex projective plane

Wilczyński, Dariusz M.

doi:10.1090/S0002-9947-1987-0902793-1

Group actions on the complex projective plane
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by Dariusz M. Wilczyński

Trans. Amer. Math. Soc. 303 (1987), 707-731

DOI: https://doi.org/10.1090/S0002-9947-1987-0902793-1

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Abstract:

Let $G$ be a finite or compact Lie group. It is shown that $G$ acts on the complex projective plane (resp. on the Chern manifold) if and only if $G$ is isomorphic to a subgroup (resp. a pseudofree subgroup) of $PU(3)$. All actions considered are effective, locally smooth, and trivial on homology.

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