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arXiv · 2503.04686

The action of the Morava stabilizer group on the coefficients of Morava E-theory at height 2

Andrew Salch
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Abstract

We calculate an explicit closed formula for the action of the height 2 full Morava stabilizer group on the coefficient ring of height 2 Morava E-theory. In particular, this yields an explicit, surprisingly simple closed formula for the action of the automorphism group of a height 2 formal group law on its Lubin-Tate deformation ring. The formula is of a combinatorial nature, given by sums over certain labelled ordered rooted trees.

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Andrew Salch. 2025-03-06. The action of the Morava stabilizer group on the coefficients of Morava E-theory at height 2. https://arxiv.org/abs/2503.04686

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