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Transactions of the American Mathematical Society

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



Manifolds with no periodic homeomorphisms

Author: Edward M. Bloomberg
Journal: Trans. Amer. Math. Soc. 202 (1975), 67-78
MSC: Primary 57E25
MathSciNet review: 0358842
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Abstract: An analysis of the ends of the universal cover of the connected sum of two aspherical manifolds leads to the construction of a class of closed manifolds with no nontrivial periodic homeomorphisms.

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  • [1] P. E. Conner and Frank Raymond, Manifolds with few periodic homeomorphisms, Proceedings of the Second Conference on Compact Transformation Groups (Univ. Massachusetts, Amherst, Mass., 1971) Springer, Berlin, 1972, pp. 1–75. Lecture Notes in Math., Vol. 299. MR 0358835
  • [2] S. Mac Lane, Homology, Die Grundlehren der math. Wissenschaften, Band 114, Academic Press, New York; Springer-Verlag, Berlin, 1963. MR 28 #122.
  • [3] Wilhelm Magnus, Abraham Karrass, and Donald Solitar, Combinatorial group theory: Presentations of groups in terms of generators and relations, Interscience Publishers [John Wiley & Sons, Inc.], New York-London-Sydney, 1966. MR 0207802
  • [4] Frank Raymond, The end point compactification of manifolds, Pacific J. Math. 10 (1960), 947–963. MR 0120637
  • [5] D. Sullivan, unpublished.

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Keywords: Aspherical manifolds, Freudenthal end point compactification, connected sums, free products, outer automorphism group
Article copyright: © Copyright 1975 American Mathematical Society