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arXiv · 2504.09286

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

Florian Eisele·Ricardo J. Franquiz Flores·John W. MacQuarrie
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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-$2$ group as their defect group.

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Florian Eisele, Ricardo J. Franquiz Flores, John W. MacQuarrie. 2025-04-12. Block pro-fusion systems for profinite groups and blocks with infinite dihedral defect groups. https://arxiv.org/abs/2504.09286

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