A family of subgroups satisfying four or five closure conditions forces a group to have a simple derived subgroup, unifying earlier simplicity theorems and yielding new openness results for normal subgroups.
P art I I : C ompactly generated simple groups , Forum Math
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Compressible subgroups and simplicity
A family of subgroups satisfying four or five closure conditions forces a group to have a simple derived subgroup, unifying earlier simplicity theorems and yielding new openness results for normal subgroups.