Rank p − 1 mod-p H-spaces

• Published in: Israel journal of mathematics Vol. 194; no. 2; pp. 641 - 688
• Main Authors: Grbić, Jelena, Harper, John, Mimura, Mamoru, Theriault, Stephen, Wu, Jie
• Format: Journal Article
• Language: English
• Published: Boston Springer US 01.03.2013
• Subjects: Algebra; Analysis; Applications of Mathematics; Group Theory and Generalizations; Mathematical and Computational Physics; Mathematics; Mathematics and Statistics; Theoretical; Bottom Cell; Sphere Bundle; Whitehead Product; Homotopy Equivalent; Homotopy Inverse

Different constructions by Cooke, Harper and Zabrodsky and by Cohen and Neisendorfer produce torsion free finite p -local H -spaces of rank l < p − 1. The first construction goes through when l = p − 1 and we show the second does as well. However, the space produced need not be an H -space. We gi...