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Spherical Homology Classes in the Bordism of Lie Groups

Published online by Cambridge University Press:  20 November 2018

Richard Kane  and
Guillermo Moreno
Richard Kane
Affiliation:
University of Western OntarioLondon, Ontario
Guillermo Moreno
Affiliation:
Universitat Autὸma de Barcelona, Barcelona, Spain
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The mod torsion Hurewicz map

for compact Lie groups provides a useful and efficient means of studying G. In effect, it measures how far G fails to be a product of spheres. For the Hopf-Samelson theorem (see [17]) tells us that

In other words

Serre pointed out that there exists a map

inducing this Q isomorphism.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 40 , Issue 6 , 01 December 1988 , pp. 1331 - 1374
Copyright
Copyright © Canadian Mathematical Society 1988

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