Journal article

Finitely presented extensions by free groups

Gilbert Baumslag, Charles F Miller

JOURNAL OF GROUP THEORY | WALTER DE GRUYTER GMBH | Published : 2007

Abstract

We prove here that a finitely presented group with a free quotient of rank n is an HNN-extension with n stable letters of a finitely generated group where the associated subgroups are finitely generated. This theorem has a number of consequences. In particular, in the event that the free quotient is cyclic it reduces to an elementary and quick proof of a theorem of Bieri and Strebel. © Walter de Gruyter 2007.

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