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Calculating and interpreting the Mislin genus of a special class of nilpotent spaces
Authors:Peter Hilton   Dirk Scevenels
Affiliation:Department of Mathematical Sciences, State University of New York, Binghamton, New York 13902--6000

Dirk Scevenels ; Department of Mathematics, University of Central Florida, Orlando, Florida 32816--1364 - Departement Wiskunde, Katholieke Universiteit Leuven, Celestijnenlaan 200 B, B-3001 Heverlee, Belgium

Abstract:We prove that there is a bijection between the Mislin genus of a circle bundle over a certain nilpotent base space $M$, which is constructed from a nilpotent group $N$ of a certain specified type, and the Mislin genus of $N$ itself.

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