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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Group actions on the complex projective plane


Author: Dariusz M. Wilczyński
Journal: Trans. Amer. Math. Soc. 303 (1987), 707-731
MSC: Primary 57S25; Secondary 57S17
DOI: https://doi.org/10.1090/S0002-9947-1987-0902793-1
MathSciNet review: 902793
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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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DOI: https://doi.org/10.1090/S0002-9947-1987-0902793-1
Article copyright: © Copyright 1987 American Mathematical Society