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Gottlieb and Whitehead Center Groups of Moore Spaces

Marek Golasiński and Juno Mukai
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Marek Golasiński: Casimir the Great University, Institute of Mathematics
Juno Mukai: Shinshu University

Chapter Chapter 3 in Gottlieb and Whitehead Center Groups of Spheres, Projective and Moore Spaces, 2014, pp 105-125 from Springer

Abstract: Abstract This chapter takes up the systematic study of the Gottlieb groups G n + k ( M ( A , n ) ) $$G_{n+k}(M(A,n))$$ of Moore spaces M(A, n) for Moore space an abelian group A and n ≥ 2. The groups G n + k ( M ( A , n ) ) $$G_{n+k}(M(A,n))$$ and G n + k ( M ( A ⊕ ℤ , n ) ) $$G_{n+k}(M(A \oplus \mathbb{Z},n))$$ are determined for k = 0, 1, 2, 3, 4, 5 and n ≥ 2 provided A is finite.

Keywords: Moore Space; Whitehead; Gottlieb Group; Finite Abelian Group; Systematic Study (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-11517-7_3

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DOI: 10.1007/978-3-319-11517-7_3

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