Gottlieb and Whitehead center groups of projective spaces

Details Gottlieb and Whitehead center groups of projective spaces Gottlieb and Whitehead center groups of projective spaces

2010-01-26

arxiv.org/abs/1001.4663v1

Mathematics

Algebraic Topology

43 pages

Scientific paper

By use of Siegel's method and the classical results of homotopy groups of
spheres and Lie groups, we determine some Gottlieb groups of projective spaces
or give the lower bounds of their orders. Furthermore, making use of the
properties of Whitehead products, we determine some Whitehead center groups of
projective spaces.

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