On the lifting of the Dade group
Representation Theory
2018-12-11 v2 Group Theory
Abstract
For the group of endo-permutation modules of a finite -group, there is a surjective reduction modulo homomorphism from a complete discrete valuation ring of characteristic 0 to its residue field of characteristic . We prove that this reduction map always has a section which is a group homomorphism.
Keywords
Cite
@article{arxiv.1807.04487,
title = {On the lifting of the Dade group},
author = {Caroline Lassueur and Jacques Thévenaz},
journal= {arXiv preprint arXiv:1807.04487},
year = {2018}
}
Comments
V2: capped endo-permutation modules were replaced by strongly capped endo-permutation modules