Abstract
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 give a criterion for when an H-space is obtained. In the special case of rank 2 mod-3 H-spaces, we also give a practical test for when the criterion holds, and use this to give many new examples of finite H-spaces.
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Grbić, J., Harper, J., Mimura, M. et al. Rank p − 1 mod-p H-spaces. Isr. J. Math. 194, 641–688 (2013). https://doi.org/10.1007/s11856-012-0085-1
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DOI: https://doi.org/10.1007/s11856-012-0085-1