Loop space homology associated to the mod 2 Dickson invariants - Mathematics > Algebraic TopologyReport as inadecuate




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Abstract: The spaces BG 2 and BDI4 have the property that their mod 2 cohomology isgiven by the rank 3 and 4 Dickson invariants respectively. Associated withthese spaces one has for q odd the classifying spaces of the finite groupsBG 2qand the exotic family of classifying spaces of 2-local finite groupsBSolq. In this article compute the mod 2 loop space homology of the2-completed classifying space of G 2q and of BSolq for all odd primes q, asalgebras over the Steenrod algebra, and the associated Bockstein spectralsequences.



Author: Ran Levi, Nora Seeliger

Source: https://arxiv.org/







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