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Conway’s groupCo 3 and the Dickson invariants

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Abstract

In this paper, we construct a map from the classifying spaceBCo 3 of Conway’s sporadic simple groupCo 3 to the classifying spaceBDI(4) of the new finite loop space at the prime two DI(4) of Dwyer and Wilkerson. This map has the property that it injects the mod two cohomology ofBDI(4) (which is equal to the Dickson invariants of rank four) as a subring over which the mod two cohomology ofBCo 3 is finitely generated as a module.

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  1. Department of Mathematics, University of Georgia, 30602, Athens, GA, USA

    Dave Benson

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  1. Dave Benson
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Benson, D. Conway’s groupCo 3 and the Dickson invariants. Manuscripta Math 85, 177–193 (1994). https://doi.org/10.1007/BF02568192

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  • DOI: https://doi.org/10.1007/BF02568192

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