Block pro-fusion systems for profinite groups and blocks with infinite dihedral defect groups
Representation Theory
2025-04-15 v1 Group Theory
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.
Keywords
Cite
@article{arxiv.2504.09286,
title = {Block pro-fusion systems for profinite groups and blocks with infinite dihedral defect groups},
author = {Florian Eisele and Ricardo J. Franquiz Flores and John W. MacQuarrie},
journal= {arXiv preprint arXiv:2504.09286},
year = {2025}
}
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