Gottlieb and Whitehead Center Groups of Moore Spaces

Abstract

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