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A Conjecture of Bachmuth and Mochizuki on Automorphisms of Soluble Groups
Published online by Cambridge University Press: 20 November 2018
Extract
In [1], Bachmuth and Mochizuki conjecture, by analogy with a celebrated result of Tits on linear groups [8], that a finitely generated group of automorphisms of a finitely generated soluble group either contains a soluble subgroup of finite index (which may of course be taken to be normal) or contains a non-abelian free subgroup. They point out that their conjecture holds for nilpotent-by-abelian groups and in some other cases.
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- Copyright © Canadian Mathematical Society 1976
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