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Calculating and interpreting the Mislin genus of a special class of nilpotent spaces
Author(s):
Peter
Hilton;
Dirk
Scevenels
Journal:
Proc. Amer. Math. Soc.
127
(1999),
3433-3438.
MSC (1991):
Primary 55P60;
Secondary 20F18
Posted:
June 17, 1999
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Abstract:
We prove that there is a bijection between the Mislin genus of a circle bundle over a certain nilpotent base space  , which is constructed from a nilpotent group  of a certain specified type, and the Mislin genus of  itself.
References:
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- 2.
- P. Hilton, On the genus of nilpotent groups and spaces, Israel J. Math. 54 (1986), 1-13.
MR 87m:55011 - 3.
- P. Hilton and G. Mislin, On the genus of a nilpotent group with finite commutator subgroup, Math. Z. 146 (1976), 201-211. MR 53:615
- 4.
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- 6.
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- 10.
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- 11.
- -,
 -equivalences and homotopy type, Lecture Notes in Math. vol. 418, Springer-Verlag, Berlin Heidelberg New York (1974), 160-171. MR 51:14036
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Additional Information:
Peter
Hilton
Affiliation:
Department of Mathematical Sciences, State University of New York, Binghamton, New York 13902--6000
Dirk
Scevenels
Affiliation:
Department of Mathematics, University of Central Florida, Orlando, Florida 32816--1364 -
Departement Wiskunde, Katholieke Universiteit Leuven, Celestijnenlaan 200 B, B-3001 Heverlee, Belgium
Email:
dirk.scevenels@wis.kuleuven.ac.be
DOI:
10.1090/S0002-9939-99-05202-8
PII:
S 0002-9939(99)05202-8
Received by editor(s):
February 9, 1998
Posted:
June 17, 1999
Communicated by:
Ralph Cohen
Copyright of article:
Copyright
1999,
American Mathematical Society
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