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ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Makanin–Razborov diagrams for limit groups

Emina Alibegović

Geometry & Topology 11 (2007) 643–666

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