Loop space homology associated to the mod 2 Dickson invariants

Ran Levi; Nora Seeliger

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arXiv · 1001.3581

Loop space homology associated to the mod 2 Dickson invariants

Ran Levi·Nora Seeliger

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Abstract

The spaces BG_2 and BDI(4) have the property that their mod 2 cohomology is given by the rank 3 and 4 Dickson invariants respectively. Associated with these spaces one has for q odd the classifying spaces of the finite groups BG_2(q)and the exotic family of classifying spaces of 2-local finite groups BSol(q). In this article compute the mod 2 loop space homology of the 2-completed classifying space of G_2(q) and of BSol(q) for all odd primes q, as algebras over the Steenrod algebra, and the associated Bockstein spectral sequences.

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BibTeX RIS

Ran Levi, Nora Seeliger. 2011-03-31. Loop space homology associated to the mod 2 Dickson invariants. https://arxiv.org/abs/1001.3581

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