A short proof of the Khukhro--Makarenko theorem on large characteristic subgroups with laws
classification
🧮 math.GR
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characteristicidentitykhukhro--makarenkoproofsatisfyingshortsubgrouptheorem
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We give a short proof and some strengthening of the Khukhro--Makarenko theorem that each group virtually satisfying an outer commutator identity contains a finite-index characteristic subgroup satisfying this identity. An estimate for the index of this characteristic subgroup is obtained.
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