Journal of the Korean Mathematical Society (대한수학회지)
- Volume 16 Issue 1
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- Pages.87-93
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- 1979
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- 0304-9914(pISSN)
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- 2234-3008(eISSN)
THE NIELSEN THEOREM FOR SEIFERT FIBERED SPACES OVER LOCALLY SYMMETRIC SPACES
- RAYMOND, FRANK (The University of Michigan and Seoul National University)
- Received : 1979.06.05
- Published : 1979.12.31
Abstract
In this note the geometric realization of a finite group of homotopy classes of self homotopy equivalences by a finite group of diffeomorphisms is investigated. In order for this to be accomplished an algebraic condition, which guarantees a certain group extension exists, must be satisfied. It is shown for a geometrically interesting class of aspherical manifolds, called injective Seifert fiber spaces over a locally symmetric space, that this necessary algebraic condition is also sufficient for geometric realization.
Keywords