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Gottlieb and Whitehead Center Groups of Projective Spaces

In: Gottlieb and Whitehead Center Groups of Spheres, Projective and Moore Spaces

Author

Listed:
  • Marek Golasiński

    (Casimir the Great University, Institute of Mathematics)

  • Juno Mukai

    (Shinshu University)

Abstract

By the use of Siegel’s method and the classical results of homotopy groups homotopy group of spheres and Lie groups, we determine in this chapter 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.

Suggested Citation

  • Marek Golasiński & Juno Mukai, 2014. "Gottlieb and Whitehead Center Groups of Projective Spaces," Springer Books, in: Gottlieb and Whitehead Center Groups of Spheres, Projective and Moore Spaces, edition 127, chapter 0, pages 49-103, Springer.
  • Handle: RePEc:spr:sprchp:978-3-319-11517-7_2
    DOI: 10.1007/978-3-319-11517-7_2
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