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Group Actions on Homology Quaternionic Projective Planes
1978
Proceedings of the American Mathematical Society
A class of Z^-actions, resembling well-known actions on the quaternionic projective plane, is defined and studied. The existence of such actions on a closed homology quaternionic projective plane is shown to imply numerical restrictions on the manifold's Pontrjagin classes. One consequence is that iorp = 3, or 5, infinitely many smooth manifolds of this type admit no smooth Zp -actions. Preliminaries. Notation. Throughout this paper, V denotes a 1-connected (integral) homology HP2, £ G H\ V) a
doi:10.2307/2042588
fatcat:dx2jggacyfflnhmrlju3juwpkq