Rationally equivalent nilpotent groups and spaces
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- by Joseph Roitberg PDF
- Proc. Amer. Math. Soc. 125 (1997), 41-45 Request permission
Abstract:
Examples are constructed of rationally isomorphic, finitely generated nilpotent groups $L$ and $M$ such that there are no homomorphisms $L \rightarrow M, M \rightarrow L$ inducing rational isomorphisms. Similar examples are constructed of nilpotent, or even simply-connected, finite CW-complexes.References
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Additional Information
- Joseph Roitberg
- Affiliation: Department of Mathematics & Statistics, Hunter College (CUNY), 695 Park Ave., New York, New York 10021; Department of Mathematics, Graduate School (CUNY), 33 West 42 St., New York, New York 10036
- Email: jroitber@shiva.hunter.cuny.edu
- Received by editor(s): May 5, 1995
- Received by editor(s) in revised form: July 11, 1995
- Additional Notes: Research supported (in part) by a grant from the City University of New York PSC-CUNY Research Award Program
- Communicated by: Thomas Goodwillie
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 41-45
- MSC (1991): Primary 20F18, 55P60, 55P62
- DOI: https://doi.org/10.1090/S0002-9939-97-03556-9
- MathSciNet review: 1346986