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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.
Received: 2005-09-21
Revised: 2006-11-25
Published Online: 2007-09-19
Published in Print: 2007-09-19
© Walter de Gruyter
