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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Group actions on the complex projective plane
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by Dariusz M. Wilczyński PDF
Trans. Amer. Math. Soc. 303 (1987), 707-731 Request permission

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.
References
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Additional Information
  • © Copyright 1987 American Mathematical Society
  • 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