On the lifting of the Dade group

Published 12 Jul 2018 in math.RT and math.GR | (1807.04487v2)

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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