On the lifting of the Dade group
classification
🧮 math.RT
math.GR
keywords
groupcharacteristichomomorphismreductionalwayscompletedadediscrete
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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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