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arXiv · 1801.06162

Endomorphisms of nilpotent groups of finite rank

Hector Durham
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Abstract

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.

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Hector Durham. 2018-01-18. Endomorphisms of nilpotent groups of finite rank. https://arxiv.org/abs/1801.06162

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