Makanin–Razborov diagrams for limit groups

Alibegović, Emina

doi:10.2140/gt.2007.11.643

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Makanin–Razborov diagrams for limit groups

Emina Alibegović

Geometry & Topology 11 (2007) 643–666

DOI: 10.2140/gt.2007.11.643

arXiv: math.GR/0406581

Abstract

We give a description of $Hom (G, L)$ , where $L$ is a limit group (fully residually free group). We construct a finite diagram of groups, the Makanin–Razborov diagram, that gives a convenient representation of all such homomorphisms.

Keywords

limit groups, homomorphisms

Mathematical Subject Classification 2000

Primary: 20F65

Secondary: 57M07, 20F67

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Publication

Received: 31 August 2004

Revised: 20 September 2006

Accepted: 18 December 2006

Published: 10 May 2007

Proposed: Martin Bridson

Seconded: Benson Farb, Walter Neumann

Authors

Emina Alibegović
University of Michigan 530 Church St Ann Arbor, MI 48109-1043 USA
http://www.math.lsa.umich.edu/~eminaa

Volume 11, issue 2 (2007)