{"id":6,"date":"2014-03-17T21:25:46","date_gmt":"2014-03-17T21:25:46","guid":{"rendered":"https:\/\/my.vanderbilt.edu\/johnratcliffe\/publications\/"},"modified":"2016-09-06T15:22:46","modified_gmt":"2016-09-06T20:22:46","slug":"publications","status":"publish","type":"page","link":"https:\/\/my.vanderbilt.edu\/johnratcliffe\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"

Research Articles<\/strong><\/h2>\n
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  1. John G. Ratcliffe, Crossed extensions,\u00a0Trans. Amer. Math. Soc.<\/em> 257<\/strong> (1980), 73-89.<\/li>\n
  2. John G. Ratcliffe, On the second transgression of the Lyndon-Hochschild- Serre spectral sequence,\u00a0J. Algebra<\/em> 61<\/strong> (1979), 593-598.<\/li>\n
  3. John G. Ratcliffe, Free and projective crossed modules,\u00a0J. London Math. Soc.<\/em>22<\/strong> (1980), 66-74.<\/li>\n
  4. Philip S. Hirschhorn and John G. Ratcliffe, A simple proof of the algebraic unknotting of spheres in codimension two,\u00a0Amer. J. of Math.<\/em>102<\/strong> (1980), 489-491.<\/li>\n
  5. Mauricio A. Gutierrez and John G. Ratcliffe, On the second homotopy group,\u00a0Quart. J. Math. Oxford<\/em> 32<\/strong> (1981), 45-55.<\/li>\n
  6. John G. Ratcliffe, On the ends of higher dimensional knot groups,\u00a0J. Pure Appl. Algebra<\/em> 20<\/strong> (1981), 317-324.<\/li>\n
  7. John G. Ratcliffe, On one-relator groups which satisfy Poincare duality,\u00a0Math. Z.<\/em> 177<\/strong> (1981), 425-438.<\/li>\n
  8. A. M. Brunner and J. G. Ratcliffe, Finite 2-complexes with infinitely generated groups of self homotopy equivalences,\u00a0Proc. Amer. Math. Soc.<\/em> 86<\/strong> (1982), 525-530.<\/li>\n
  9. John G. Ratcliffe, Finiteness conditions for groups,\u00a0J. Pure Appl. Algebra<\/em> 27<\/strong> (1983), 173-185.<\/li>\n
  10. John G. Ratcliffe, A fibered knot in a homology 3-sphere whose group is nonclassical, In: Low Dimensional Topology,\u00a0Contemp. Math.<\/em> 20<\/strong> (1983), 327-339.<\/li>\n
  11. John G. Ratcliffe, Lyndon’s contribution to cohomology of groups, In: Contributions to Group Theory,\u00a0Contemp. Math.<\/em> 33<\/strong> (1984), 24-28. 5<\/li>\n
  12. John G. Ratcliffe, The cohomology ring of a one-relator group, In: Contributions to Group Theory,\u00a0Contemp. Math.<\/em> 33<\/strong> (1984), 455-466.<\/li>\n
  13. Nathan Habegger, Vaughan Jones, Pino Ortiz and John Ratcliffe, Relative cohomology of groups,\u00a0Comment. Math. Helv.<\/em> 59<\/strong> (1984), 149-164.<\/li>\n
  14. John G. Ratcliffe, On complexes dominated by a two-complex, In: Combinatorial Group Theory and Topology,\u00a0Ann. Math. Studies<\/em> 111<\/strong> (1986), 221-254.<\/li>\n
  15. John G. Ratcliffe, Euler characteristics of 3-manifold groups and discrete subgroups of SL(2,C<\/strong>),\u00a0J. Pure Appl. Algebra.<\/em> 44<\/strong> (1987), 303- 314.<\/li>\n
  16. John G. Ratcliffe, On the uniqueness of amalgamated product decompositions of a group. In: Combinatorial Group Theory,\u00a0Contemp. Math.<\/em> 109<\/strong> (1990), 139-146.<\/li>\n
  17. Magnhild Lien and John G. Ratcliffe, On the uniqueness of HNN decompositions of a group\u00a0J. Pure Appl. Algebra.<\/em> 75<\/strong> (1991), 51-62.<\/li>\n
  18. John G. Ratcliffe, On the isometry groups of hyperbolic manifolds, In: The Mathematical Legacy of Wilhelm Magnus: Groups, Geometry and Special Functions,\u00a0Contemp. Math.<\/em> 169<\/strong> (1994), 491-495.<\/li>\n
  19. John G. Ratcliffe and Steven T. Tschantz, Volumes of integral congruence hyperbolic manifolds,\u00a0J. Reine Angew. Math.<\/em> 488<\/strong> (1997), 55-78.<\/li>\n
  20. John G. Ratcliffe and Steven T. Tschantz, On the representation of integers by the Lorentzian quadratic form,\u00a0J. Funct. Anal.<\/em> 150<\/strong> (1997), 498-525.<\/li>\n
  21. John G. Ratcliffe and Steven T. Tschantz, Gravitational instantons of constant curvature,\u00a0Classical and Quantum Gravity<\/em>,\u00a015<\/strong> (1998), 2613- 2627.<\/li>\n
  22. John G. Ratcliffe and Steven T. Tschantz, On the torsion of the group O(n, 1;Z<\/strong>) of integral Lorentzian (n+1)x(n+1) matrices,\u00a0J. Pure and Appl. Algebra.<\/em> 136<\/strong> (1999), 157-181.<\/li>\n
  23. John G. Ratcliffe, On the isometry groups of hyperbolic orbifolds,\u00a0Geometriae Dedicata<\/em> 78<\/strong> (1999), 63-67.<\/li>\n
  24. N.W. Johnson, R. Kellerhals, J.G. Ratcliffe, and S.T. Tschantz, The size of a hyperbolic Coxeter simplex,\u00a0Transformation Groups<\/em> 4<\/strong> (1999), 329-353.<\/li>\n
  25. John G. Ratcliffe and Steven T. Tschantz, Spin and complex structures on flat gravitational instantons,\u00a0Classical and Quantum Gravity<\/em> 17<\/strong> (2000), 179-188.<\/li>\n
  26. John G. Ratcliffe and Steven T. Tschantz, The volume spectrum of hyperbolic 4-manifolds,\u00a0Experimental Math.<\/em> 9<\/strong> (2000), 101-125.<\/li>\n
  27. John G. Ratcliffe and Steven T. Tschantz, On the growth of the number of hyperbolic gravitational instantons with respect to volume,\u00a0Classical and Quantum Gravity<\/em> 17<\/strong> (2000), 2999-3007.<\/li>\n
  28. John G. Ratcliffe and Steven T. Tschantz, On the Davis hyperbolic 4-manifold,\u00a0Topology Appl.<\/em> 111<\/strong> (2001), 327-342.<\/li>\n
  29. N.W. Johnson, R. Kellerhals, J.G. Ratcliffe, and S.T. Tschantz, Commensurability classes of hyperbolic Coxeter groups,\u00a0Linear Algebra Appl.<\/em> 345<\/strong> (2002), 119-147.<\/li>\n
  30. John G. Ratcliffe, Hyperbolic Manifolds, Chapter in:\u00a0Handbook of Geometric Topology<\/em>, Edited by R.J.Daverman and R.B.Sher, Elsevier Sciences B.V., Amsterdam, (2002), 899-920.<\/li>\n
  31. John G. Ratcliffe and Steven T. Tschantz, Integral congruence two hyperbolic 5-manifolds,\u00a0Geometriae Dedicata<\/em> 107<\/strong> (2004), 187-209.<\/li>\n
  32. M. Anderson, S. Carlip, J. G. Ratcliffe, S. Surya, S. T. Tschantz, Peaks in the Hartle-Hawking wave function from sums over topologies,\u00a0Class. and Quantum Grav.<\/em> 21<\/strong> (2004), 729-741.<\/li>\n
  33. John G. Ratcliffe and Steven T. Tschantz, Some examples of aspherical 4-manifolds that are homology 4-spheres,\u00a0Topology<\/em> 44<\/strong> (2005), 341-350.<\/li>\n
  34. Brent Everitt, John G. Ratcliffe, and Steven T. Tschantz, The smallest hyperbolic 6-manifolds,\u00a0Electron. Res. Announc. Amer. Math. Soc.<\/em> 11<\/strong> (2005), 40-46.<\/li>\n
  35. Dubravko Ivansic, John G. Ratcliffe, and Steven T. Tschantz, Complements of tori and Klein bottles in the 4-sphere that have hyperbolic structure,\u00a0Algebraic & Geometric Topology<\/em> 5<\/strong> (2005), 999-1026.<\/li>\n
  36. John G. Ratcliffe, The geometry of hyperbolic manifolds of dimension at least four, In:\u00a0Non-Euclidean Geometries<\/em>, Edited by A. Prekopa and E. Molnar, Math. Appl.<\/em>,\u00a0581<\/strong> (2006), Springer, New York, 269-286.<\/li>\n
  37. Michael L. Mihalik, John G. Ratcliffe, and Steven T. Tschantz, Matching theorems for systems of a finitely generated Coxeter group, Algebr. Geom. Topol.<\/em> 7<\/strong> (2007), 919-956.<\/li>\n
  38. John G. Ratcliffe, and Steven T. Tschantz, Chordal Coxeter groups, Geom. Dedicata<\/em> 136<\/strong> (2008), 57-77.<\/li>\n
  39. Michael Mihalik, John Ratcliffe, and Steven Tschantz, Quotient isomorphism invariants of a finitely generated Coxeter group, In: Aspects of Infinite Groups<\/em>, Edited by B. Fine, G. Rosenberger, and D. Spellman, Algebra Discrete Math.<\/em> 1 <\/strong>(2008), 212-227, World Sci. Publ., Hackensack, NJ.<\/li>\n
  40. John G. Ratcliffe and Steven T. Tschantz, Abelianization of space groups, Acta Crystallogr<\/em>. A65<\/strong> (2009), 18-27.<\/li>\n
  41. Michael L. Mihalik and John G. Ratcliffe, On the rank of a Coxeter group, J. Group Theory<\/em>, 12<\/strong> (2009), 449-464.<\/li>\n
  42. John G. Ratcliffe, and Steven T. Tschantz, Fibered orbifolds and crystallographic groups,
    \nAlgebr. Geom. Topol.<\/em> 10<\/strong> (2010), 1627-1664.<\/li>\n
  43. Brent Everitt, John G. Ratcliffe, and Steven T. Tschantz, Right-angled Coxeter polytopes, hyperbolic six-manifolds, and a problem of Siegel, Math. Ann.<\/em> 354<\/strong> (2012), 871-905.<\/li>\n
  44. John G. Ratcliffe, and Steven T. Tschantz, On volumes of hyperbolic Coxeter polytopes and quadratic forms, Geom. Dedicata<\/em> 163<\/strong> (2013), 285-299.<\/li>\n
  45. John G. Ratcliffe, and Steven T. Tschantz, JSJ decompositions of Coxeter groups over FA subgroups, Topology Proc<\/em>. 42<\/strong> (2013), 57-72.<\/li>\n
  46. John G. Ratcliffe, On normal subgroups of an amalgamated product of groups
    \nwith applications to knot theory, Bol. Soc. Mat. Mex.<\/em>, 20<\/strong> (2014), 287-296.<\/li>\n
  47. John G. Ratcliffe, and Steven T. Tschantz, The Calabi construction for compact flat orbifolds
    \nTopology Appl.<\/em>, 178<\/strong> (2014), 87-106.<\/li>\n
  48. John G. Ratcliffe, and Steven T. Tschantz, On the isometry group of a compact flat orbifold,
    \nGeom. Dedicata<\/em>, 177<\/strong> (2015), 43-60.<\/li>\n<\/ol>\n<\/div>\n<\/div>\n

    Books<\/strong><\/h2>\n
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    1. Contributions to Group Theory<\/em>, edited by Kenneth I. Appel, John G. Ratcliffe and Paul E. Schupp, American Mathematical Society, Providence (1984), 519 pages.<\/li>\n
    2. Philip Crooke and John Ratcliffe,\u00a0A Guidebook to Calculus with Mathematica<\/em>, Wadsworth Publishing Company, Belmont, California (1991), 256 pages.<\/li>\n
    3. John G. Ratcliffe,\u00a0Foundations of Hyperbolic Manifolds<\/em>, Graduate Texts in Math.\u00a0149<\/strong>, Springer-Verlag, New York, (1994), 747 pages.<\/li>\n
    4. John G. Ratcliffe,\u00a0Foundations of Hyperbolic Manifolds<\/em>, Second Edition, Graduate Texts in Math.\u00a0149<\/strong>, Springer-Verlag, New York, (2006), 779 pages.<\/li>\n<\/ol>\n<\/div>\n<\/div>\n

      Book Reviews<\/strong><\/h2>\n
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      1. Functions on Manifolds<\/em>, V.V. Sharko,\u00a0Math. Reviews<\/em>, (1994), Review 94j:57001.<\/li>\n
      2. Two-dimensional Homotopy and Combinatorial Group Theory<\/em>, C. Hog- Angeloni, W. Metzler, and A.J. Sieradski,\u00a0Math. Reviews<\/em>, (1995), Review 95g:57006.<\/li>\n
      3. Introduction to Hyperbolic Geometry<\/em>, A. Ramsay and R.D. Richtmyer,\u00a0Amer. Math. Monthly<\/em>,\u00a0103<\/strong> (1996), 203-204.<\/li>\n
      4. Stable modules and the D(2)-problem<\/em>, F.E.A. Johnson,\u00a0Math. Reviews<\/em>, (2005), Review 2005b:57008.<\/li>\n
      5. Topological Methods in Group Theory<\/em>, R. Geoghegan, Math. Reviews<\/em>, (2008), Review 2008j:57002.<\/li>\n<\/ol>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

        Research Articles John G. Ratcliffe, Crossed extensions,\u00a0Trans. Amer. Math. Soc. 257 (1980), 73-89. John G. Ratcliffe, On the second transgression of the Lyndon-Hochschild- Serre spectral sequence,\u00a0J. Algebra 61 (1979), 593-598. John G. Ratcliffe, Free and projective crossed modules,\u00a0J. London Math. Soc.22 (1980), 66-74. Philip S. Hirschhorn and John G. Ratcliffe, A simple proof of the…<\/p>\n","protected":false},"author":1985,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"open","ping_status":"open","template":"","meta":{"footnotes":""},"tags":[],"class_list":["post-6","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/my.vanderbilt.edu\/johnratcliffe\/wp-json\/wp\/v2\/pages\/6","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/my.vanderbilt.edu\/johnratcliffe\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/my.vanderbilt.edu\/johnratcliffe\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/my.vanderbilt.edu\/johnratcliffe\/wp-json\/wp\/v2\/users\/1985"}],"replies":[{"embeddable":true,"href":"https:\/\/my.vanderbilt.edu\/johnratcliffe\/wp-json\/wp\/v2\/comments?post=6"}],"version-history":[{"count":4,"href":"https:\/\/my.vanderbilt.edu\/johnratcliffe\/wp-json\/wp\/v2\/pages\/6\/revisions"}],"predecessor-version":[{"id":51,"href":"https:\/\/my.vanderbilt.edu\/johnratcliffe\/wp-json\/wp\/v2\/pages\/6\/revisions\/51"}],"wp:attachment":[{"href":"https:\/\/my.vanderbilt.edu\/johnratcliffe\/wp-json\/wp\/v2\/media?parent=6"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/my.vanderbilt.edu\/johnratcliffe\/wp-json\/wp\/v2\/tags?post=6"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}