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arXiv · 1807.04487

On the lifting of the Dade group

Caroline Lassueur·Jacques Thévenaz
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Abstract

For the group of endo-permutation modules of a finite \(p\)-group, there is a surjective reduction modulo \(p\) homomorphism from a complete discrete valuation ring of characteristic 0 to its residue field of characteristic \(p\). We prove that this reduction map always has a section which is a group homomorphism.

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Caroline Lassueur, Jacques Thévenaz. 2018-07-12. On the lifting of the Dade group. https://arxiv.org/abs/1807.04487

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