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arXiv · 1607.01108

The cohomology of the height four Morava stabilizer group at large primes

A. Salch
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Abstract

This is an announcement of some new computational methods in stable homotopy theory, in particular, methods for using the cohomology of small-height Morava stabilizer groups to compute the cohomology of large-height Morava stabilizer groups. As an application, the cohomology of the height four Morava stabilizer group is computed at large primes (its rank turns out to be $3440$). Consequently we are able to formulate a plausible conjecture on the rank of the large-primary cohomology of the Morava stabilizer groups at all heights.

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A. Salch. 2016-07-05. The cohomology of the height four Morava stabilizer group at large primes. https://arxiv.org/abs/1607.01108

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