Geodesic
A Conjecture of Bachmuth and Mochizuki on Automorphisms of Soluble Groups
Canadian journal of mathematics, Tome 28 (1976) no. 6, pp. 1302-1310

Voir la notice de l'article provenant de la source Cambridge University Press

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. 
Hartley, Brian. A Conjecture of Bachmuth and Mochizuki on Automorphisms of Soluble Groups. Canadian journal of mathematics, Tome 28 (1976) no. 6, pp. 1302-1310. doi: 10.4153/CJM-1976-129-7
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[1] 1. Bachmuth, S. and Mochizuki, H. Y., Automorphisms of solvable groups, Bull. Amer. Math. Soc. 81 (1975), 420–422. Google Scholar

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[7] 7. Robinson, Derek J. S., Finiteness conditions and generalized soluble groups, Parts 1 and 2 (Springer-Verlag, Berlin, 1972). Google Scholar

[8] 8. Tits, J., Free subgroups in linear groups, J. Algebra 20 (1972), 250–270. Google Scholar

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