2012/11/30 by Olga Kharlampovich, Alexei Myasnikov, Denis Serbin
Mathematics · #math.GR
paper · pdf · doi:10.1142/s0218196713400031
published as IJAC, 23 (2013), 2, 325-455 · 135 pages, 18 figures. arXiv admin note: substantial text overlap with arXiv:0911.0209, arXiv:0907.2356, arXiv:1208.4640, arXiv:1107.0425
arxiv created 2013/01/26 · arxiv updated 2013/05/07
In this paper we survey recent developments in the theory of groups acting on Λ-trees. We are trying to unify all significant methods and techniques, both classical and recently developed, in an attempt to present various faces of the theory and to show how these methods can be used to solve major problems about finitely presented Λ-free groups. Besides surveying results known up to date we draw many new corollaries concerning structural and algorithmic properties of such groups.