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math.GR2025
The profinite genus of the groups
Marlon Estanislau, John MacQuarrie, Anderson Porto
A formula is given for the profinite genus of groups of the form , completing the calculation of the size of the genus of semidirect products of the f…
math.RT2025
Block pro-fusion systems for profinite groups and blocks with infinite dihedral defect groups
Florian Eisele, Ricardo J. Franquiz Flores, John W. MacQuarrie
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 o…