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math.GR2008★ 8 cited
Automorphism invariance and identities
Evgenii I. Khukhro, Anton A. Klyachko, Natalia Yu. Makarenko +1
If an outer (multilinear) commutator identity holds in a large subgroup of a group, then it holds also in a large characteristic subgroup. Similar assertions are valid for algebras…
math.GR2008★ 7 cited
A short proof of the Khukhro--Makarenko theorem on large characteristic subgroups with laws
Anton A. Klyachko, Yulia B. Melnikova
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 characteris…