In profinite groups, a countable cover of coprime commutators by procyclic subgroups implies the pronilpotent residual is finite-by-procyclic.
Gorenstein,Finite groups, Chelsea, New York
2 Pith papers cite this work. Polarity classification is still indexing.
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A p-block with abelian defect group is inertial if it covers a p-block of a normal subgroup of p-power index with only one irreducible Brauer character orbit.
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Coprime commutators in profinite groups
In profinite groups, a countable cover of coprime commutators by procyclic subgroups implies the pronilpotent residual is finite-by-procyclic.
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Blocks with only one irreducible Brauer character orbit
A p-block with abelian defect group is inertial if it covers a p-block of a normal subgroup of p-power index with only one irreducible Brauer character orbit.