Daniel Groves
Research Papers
(see also the ArXiv, which has most of my more recent papers)

Published Papers

  • A note on nonidentical Lie relators, Journal of Algebra, 211 (1999), 15--25. Abstract.

  • Some properties of free groups of some soluble varieties of groups, J. London Math. Soc. (2) 63 (2001), 592-606. Abstract.

  • Free groups of outer commutator varieties of groups, J. London Math. Soc. (2) 64 (2001), 423-435. Abstract.

  • The Wielandt subalgebra of a Lie algebra (with D. Barnes), J. Aust. Math. Soc. 74 (2003), 313-330. Abstract.

  • Finite groups of bounded exponent (with M.R. Vaughan-Lee), Bull. London Math. Soc. 35 (2003) 37-40. Abstract.

  • Limits of (certain) CAT(0) groups, I: Compactification, Algebraic and Geometric Topology, 5 (2005), 1325--1364. Abstract. Published here.

  • Limit groups for relatively hyperbolic groups, II: Makanin-Razborov diagrams, Geometry & Topology, 9 (2005), 2319--2358. Abstract. Published here.

  • Fillings, finite generation and direct limits of relatively hyperbolic groups (with J. F. Manning ), Groups, Geometry, and Dynamics, 1 (2007), 329--342. Abstract.

  • The isomorphism problem for toral relatively hyperbolic groups (with F. Dahmani ), Publ. Math. IHES, 107 (2008), 211-290. Abstract.

  • Detecting free splittings in relatively hyperbolic groups (with F. Dahmani ), Transactions of the AMS, 360 (2008), 6303-6318. Abstract. Published here.

  • Dehn filling in relatively hyperbolic groups, (with J.F. Manning ), Israel Journal of Mathematics, 168 (2008), 317-429. Abstract.


    Preprints

  • The quadratic isoperimetric inequality for mapping tori of free group automorphisms I: Positive automorphisms (with M.R. Bridson). Preprint (2003). Abstract. .pdf (666k)

  • Limits of (certain) CAT(0) groups, II: The Hopf property and the shortening argument. Preprint (2004). Abstract. .pdf (336k)

  • Limit groups for relatively hyperbolic groups, I: The basic tools. Preprint (2004). Abstract. .pdf (340k)
    Updated March 2008 to include the results of the previous version and `Limit of (certain) CAT(0) groups, II' above. That paper will not be published separately.

  • Free-group automorphisms, train tracks and the beaded decomposition (with M.R. Bridson). Preprint (2005). Abstract. .pdf (323k)

  • The quadratic isoperimetric inequality for mapping tori of free group automorphisms II: The general case (with M.R. Bridson). Preprint (2006). Abstract. .pdf (485k)

  • Enumerating limit groups (with H. Wilton ). Preprint (2007). Abstract. .pdf (264k). Groups, Geometry and Dynamics, to appear.

  • Conjugacy classes of solutions to equations and inequations over hyperbolic groups (with H. Wilton ). Preprint (2007). Abstract. .pdf (295k)

  • Residual finiteness, QCERF, and fillings of hyperbolic groups (with Ian Agol and Jason Manning ). Preprint (2008). Abstract. .pdf

  • The quadratic isoperimetric inequality for mapping tori of free group automorphisms (with Martin Bridson ). Preprint (2008). Memoirs of the AMS, to appear. Abstract. .pdf
    Note: This monograph contains the contents of the three papers on (mapping tori of) free group automorphisms with Martin Bridson which are listed above. They will not be published separately.


    Some of the research above is based upon work supported by the National Science Foundation under Grants No. 0504251 and 0813863.

    Any opinions, findings, conclusions or recommendations expresesd in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.