paper

Block pro-fusion systems for profinite groups and blocks with infinite dihedral defect groups

arXiv:2504.09286

Abstract

We introduce block pro-fusion systems for blocks of profinite groups, prove a profinite version of Puig's structure theorem for nilpotent blocks, and use it to show that there is only one Morita equivalence class of blocks having the infinite dihedral pro- group as their defect group.

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Block pro-fusion systems for profinite groups and blocks with infinite dihedral defect groups · wovepaper