Corrections to the papers on finite H-spaces (Q1080226)

In (a) ibid. 15, 55-67 (1985; Zbl 0569.55005), Proposition 4.3 is incorrect in case that \(H^*(X; {\mathbb{Z}})\) has torsions, e.g., \(X=G_ 2\) (the exceptional Lie group). To correct (a), we must add the assumption (*) and Theorem 1.4 in (a) should be replaced by the following Theorem 1.4': For a 3-connected finite H-space X, assume that (*) \(H^*(X; {\mathbb{Z}})\) has no 2-torsion, (1.5) \(H^*(X; {\mathbb{Q}})\) is primitively generated, and (1.6) the indecomposable module \(QH^ n(X;Z_ 2)\) vanishes for \(n=15\). Then, X has the homotopy type of \((S^ 7)^ l\) for some \(l\geq 0\).