Hector Durham
Published 2018-01-18Version 1
We obtain sufficient criteria for endomorphisms of torsion-free nilpotent groups of finite rank to be automorphisms, by considering the induced maps on the torsion-free abelianisation and the centre. Whilst these results are known in the finitely generated case removing this assumption introduces several difficulties.
Algorithms for linear groups of finite rank
Automorphisms and endomorphisms of lacunary hyperbolic groups
On endomorphisms and automorphisms of $G$-sets
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