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Endomorphisms of nilpotent groups of finite rank. (arXiv:1801.06162v1 [math.GR])

来源于:arXiv
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. 查看全文>>