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Rationally equivalent nilpotent groups and spaces
Author(s):
Joseph
Roitberg
Journal:
Proc. Amer. Math. Soc.
125
(1997),
41-45.
MSC (1991):
Primary 20F18, 55P60, 55P62
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Abstract:
Examples are constructed of rationally isomorphic, finitely generated nilpotent groups and such that there are no homomorphisms inducing rational isomorphisms. Similar examples are constructed of nilpotent, or even simply-connected, finite CW-complexes.
References:
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- 2.
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- 3.
- C.A. McGibbon and J. Roitberg, Phantom maps and rational equivalences, Amer. J. Math. 116 (1994), 1365-1379. MR 95j:55026
- 4.
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- J. Roitberg, Rational Lie algebras and p-isomorphisms of nilpotent groups and homotopy types, Comment. Math. Helv. 50 (1975), 1-8. Erratum, ibid. 51 (1976), 435-436. MR 51:1813; MR 54:13909
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- 9.
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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
DOI:
10.1090/S0002-9939-97-03556-9
PII:
S 0002-9939(97)03556-9
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 of article:
Copyright
1997,
American Mathematical Society
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