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Start Over Author "Costoya, Cristina" Journal acta mathematica (springer nature)
1 results on '"Costoya, Cristina"'

1. Every finite group is the group of self-homotopy equivalences of an elliptic space.

Author

Costoya, Cristina and Viruel, Antonio

Subjects
*GROUP theory, *FINITE groups, *HOMOTOPY equivalences, *ELLIPTIC space, *MANIFOLDS (Mathematics)
Abstract

We prove that every finite group G can be realized as the group of self-homotopy equivalences of infinitely many elliptic spaces X. To construct those spaces we introduce a new technique which leads, for example, to the existence of infinitely many inflexible manifolds. Further applications to representation theory will appear in a separate paper. [ABSTRACT FROM AUTHOR]

Published
2014
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