Faculté des sciences

Fitting quotients of finitely presented abelian-by-nilpotent groups

Groves, John Richard James ; Strebel, Ralph

In: Journal of Group Theory, 2014, vol. 17, no. 1, p. 1–12

We show that every finitely generated nilpotent group of class 2 occurs as the quotient of a finitely presented abelian-by-nilpotent group by its largest nilpotent normal subgroup. More

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    Summary
    We show that every finitely generated nilpotent group of class 2 occurs as the quotient of a finitely presented abelian-by-nilpotent group by its largest nilpotent normal subgroup.