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Proceedings of the American Mathematical Society

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Finite aspherical complexes with infinitely-generated groups of self-homotopy-equivalences


Author: Darryl McCullough
Journal: Proc. Amer. Math. Soc. 80 (1980), 337-340
MSC: Primary 55P10
MathSciNet review: 577770
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Abstract: A finite aspherical complex X is constructed whose group of homotopy classes of basepoint-preserving self-homotopy-equivalences is infinitely generated.


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DOI: https://doi.org/10.1090/S0002-9939-1980-0577770-2
Keywords: Self-homotopy-equivalence, aspherical complex, Higman-Neumann-Neumann group, automorphism group, duality group
Article copyright: © Copyright 1980 American Mathematical Society