@book{grillet, author = "Pierre Antoine Grillet", title = "Abstract Algebra", edition = "second", year = "2007", publishers = "Springer", series = "Graduate Texts in Mathematics", address = "New York" } @book{robinson, author = "Derek J. S. Robinson", title = "A Course in the Theory of Groups", edition = "second", year = "1996", publishers = "Springer", series = "Graduate Texts in Mathematics", address = "New York" } @book{cgt, author = "Roger C. Lyndon and Paul E. Schupp", title = "Combinatorial Group Theory", series = "Classics in Mathematics", publishers = "Springer", address = "Berlin", year = "2001" } @book{magnus, author = "Wilhelm Magnus and Abraham Karrass and Donald Solitar", title = "Combinatorial Group Theory: presentations of Groups in Terms of Generators and Relations", publishers = "Dover", year = "2004", address ="New York" } @unpublished{millerIII, title = "Combinatorial Group Theory", author = "Charles F. {{Miller III}}", year = "2004" } @incollection{millerIII-article, title = "Some presentations of the trivial group", author = "Charles F. {{Miller III}} and Paul E. Schupp", booktitle = "Groups, Languages and Geometry. 1998 AMS-IMS-SIAM Joint Summer Research Conference on Geometric Group Theory and Computer Science, July 5-9, 1998, Mount Holyoke College", year = "1999", publisher = "American Mathematical Society", series = "Contemporary Mathematics", editors = "Robert H. Gilman", volume = "250", pages = "113-115" } @book{meier, title = "Groups, Graphs and Trees. An Introduction to the Geometry of Infinite Groups", author = "John Meier", publishers = "Cambride University Press", series = "London Mathematical Society Student Texts", volume = "73", address = "Cambridge", year= "2008" } @book{crm, title = "The Geometry of The Word Problem for Finitely Generated Groups", author = "Noel Brady and Tim Riley and Hamish Short", publishers = "Springer", year = "2007", address = "Berlin", series = "Advanced Courses in Mathematics CRM Barcelona" } @article{novikov, author = "P. S. Novikov", title = "On the algorithmic unsolvability of the word problem in group theory", journal = "Proceedings of Steklov Mathematical Institute", year = "1955", volume = "44", pages = "1-145", note = ". Traducció anglesa a l'American Mathematical Society Translations (2) 9 (1958), 1-122" } @article{stillwell, title = "The Word Problem and the isomorphism problem for groups", author = "John Stillwell", journal = "Bulletin (New Series) of the American Mathematical Society", volume = 6, number = 1, year = 1982, month = "Jan" } @incollection{millerIIIa2, author = "Charles F. {{Miller III}}", title = "Decision problems for groups: survey and reflections", booktitle = "Algorithms and Classification in Combinatorial Group Theory", year = "1992", publisher = "Springer-Verlag", address = "Berlin", editor = "Gilbert Baumslag and Charles F. {{Miller III}}", pages = "1-59", series = "MSRI Publications", volume = 23 } @incollection{bridson-tutorial, author= "Martin R. Bridson", title = {{The geometry of the word problem}}, booktitle= "Invitations to Geometry and Topology", year = "2002", publisher = "Oxford University Press", editor = "Martin R. Bridson, Simon M. Salamon", pages="29-92" } @incollection{gersten, author = "S. M. Gersten", title = "Isoperimetric and isodiametric functions of finite presentations", booktitle = "Geometric Group Theory volume 1", editor = "G. Niblo and M. Roller", series = "London Mathematical Society Lecture Note Series", volume = 181, pages = "79-96", publisher = "Cambridge University Press", address = "Cambridge", year = "1993" } @article{dehn, author = "Max Dehn", title = "Über unendliche diskontinuierliche Gruppen", journal = "Mathematische Annalen", volume = "71", year = "1912", pages = "116-144", note = "Traducció anglesa per J. Stillwell: On infinite discontinuous groups, in {\em Papers on group theory and topology}. Springer-Verlag, 1987" } @book{miller-llibre, author = "Charles F. {{Miller III}}", title = "On group-theoretic decision problems and their classification", publisher = "Princeton University Press", year = "1971", series = "Annals of Mathematics Studies", editors = "Phillip A. Griffiths and John N. Mather and Elias M. Stein", address = "Princeton" } @article{seress, title = "An Introduction to Computational group theory", author = "Seress, \'{A}[kos]", journal = "Notices of the American Mathematical Society", year = "1997", month = "Jun/Jul", volume = "44", number = "6", pages = "671-679" } @misc{openproblems, author = "Gilbert Baumslag and Alexei G. Myasnikov and Vladimir Shpilrain", title = "Open problems in combinatorial group theory" } @article{sacerdote, author = "George S. Sacerdote", title = "Some Undecidable Problems in Group Theory", journal = "Proceedings of the American Mathematical Society", volume = "36", number = "1", year = "1972", pages = "231-238" } @article{magnus-residualment, author = "Wilhelm Magnus", title = "Residually Finite Groups", journal = "Bulletin of the American Mathematical Society", year = "1969", pages = "305-316", volume = "75" } @book{delaharpe, author= "de la Harpe, Pierre", title = "Topics in Geometric Group Theory", publishers = "University of Chicago Press", series= "Chicago Lectures in Mathematics", year = "2000", address = "Chicago" } @book{chiswell, title = "A Course in Formal Languages, Automata and Groups", author = "Ian Chiswell", publishers = "Springer", address = "London", year = "2009", series = "Universitext" } @misc{whyte, title = "Quasi-Isometries", author = "Kevin Whyte", year = "2007", address = "Berkeley", note = "Disponible a www.math.utah.edu/~malone/QI/notes.pdf (darrer accés agost 2009)" } @article{dymarz, author = "Tullia Dymarz", title = "Billipschitz equivalence is not equivalent to quasi-isometric equivalence for finitely generated groups", year = "2009", journal = "arXiv.org", note = "0904.3764v2" } @phdthesis{riley-tesi, author = "Tim R. Riley", title = "Asymptotic Invariants of Infinite Discrete Groups", school = "Corpus Christi College. University of Oxford", year = "2002", address = "Hilary Term" } @incollection{gromov, author = "Mikhail Gromov", title = "Hyperbolic groups", booktitle = "Essays in Group Theory", editor = "S. M. Gersten", pages = "75-263", publisher = "Springer", address = "New York", year = "1987", series = "Mathematical Sciences Research Institute", volume = "8", } @article{bowditch, author = "B. H. Bowditch", title = "A Short Proof That a Subquadratic Isoperimetric Inequality Implies a Linear One", pages = "103-107", year = "1995", journal = "Michigan Mathematical Journal", volume = "92", number = "1" } @article{olshanskii, author = "Alexander Y. Ol'shanski\u{i}", title = "Hyperbolicity of groups with subquadratic isoperimetric inequality", pages = "281-289", year = "1991", journal = "International Journal of Algebra and Computation", volume = "1", number = "3" } @article{brady-bridson, author = "Noel Brady and Martin R. Bridson", title = "There is only one gap in the isoperimetric spectrum", journal = "Geometric and Functional Analysis", volume = "10", number = "5", year = "2000", pages = "1053-1070" } @article{bridson-ip, author = "Martin R. Bridson", title = "Fractional isoperimetric inequalities and subgrup distorsion", journal = "Journal of the American Mathematical Society", volume = "12", year = "1999", number = "4", pages = "1103-1118" } @article{brady-forester, author = "Noel Brady and Max Forester", title = "Density of Isoperimetric spectra", journal = "arXiv.org", year = "2008", note = "0812.1036v1" } @article{snowflake, author = "Noel Brady and Martin R. Bridson and Max Forester and Krishnan Shankar", title = "Snowflake groups, {{P}}erron-{{F}}robenius eigenvalues and isoperimetric spectra", journal = "Geometry \& Topology", volume = "13", number = "1", year = "2009", note = ". Disponible a l'arXiv.org: 0608155v2." } @article{sapir-birget-rips, author = "Mark Sapir and Jean-Camille Birget and Eliyahu Rips", title = "Isoperimetric and isodiametric functions of groups", journal = "Annals of Mathematics", volume = "156", number = "2", year = "2002", pages = "345-466", note =". Disponible una versió preliminar a l'arXiv.org. 9811105v1" } @article{birget-et-al, author = "Jean-Camille Birget and Alexander Y. Ol'shanski\u{i} and Eliyahu Rips and Mark Sapir", title = "Isoperimetric functions of groups and computational complexity of the word problem", journal = "Annals of Mathematics", volume = "156", number = "2", year = "2002", pages = "476-518" } @incollection{quenell, author = "Gregory Quenell", title = "Combinatorics of free-product graphs", booktitle = "Geometry of the spectrum. 1993 Joint Summer Research Conference on Spectral Geometry, July 17-23, 1993, University of Washington, Seattle", year = "1994", publisher = "American Mathematical Society", series = "Contemporary Mathematics", editors = "Robert Brooks and Carolyn Gordon and Peter A. Perry", volume = "173", pages = "257-282" } @article{bridson, author = "Martin R. Bridson", title = "On the geometry of normal forms in discrete groups", journal = "Proceedings of the London Mathematical Society", year = "1993", volume = "67", pages = "595-616" } @article{riley, author = "Tim R. Riley", title = "The geometry of groups satisfying weak almost-convexity or weak geodesic-combability conditions", journal = "Journal of Group Theory", year = "2002", volume= 5, pages = "513-525" } @book{epstein, author = "Epstein, David B. A. and J. W. Cannon and D. F. Holt and S. V. F. Levy and M. S. Paterson and W. P. Thurston", title = "Word processing in groups", publishers="Jones and Barlett Publishers", year= "1992" }