A short proof of the Khukhro--Makarenko theorem on large characteristic subgroups with laws

Details A short proof of the Khukhro--Makarenko theorem on large characteristic subgroups with laws A short proof of the Khukhro--Makarenko theorem on large characteristic subgroups with laws

2008-05-18

arxiv.org/abs/0805.2747v2

Matem. Sbornik, 200:5 (2009), 33-36

Mathematics

Group Theory

2 pages. A Russian version of this paper is at http://mech.math.msu.su/department/algebra/staff/klyachko/papers.htm . V2: th

Scientific paper

10.1070/SM2009v200n05ABEH004013

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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