#### Volume 12, issue 1 (2008)

 1 E Artin, Theory of braids, Ann. of Math. $(2)$ 48 (1947) 101 MR0019087 2 B Bakalov, A Kirillov Jr., On the lego-Teichmüller game, Transform. Groups 5 (2000) 207 MR1780935 3 V N Bezverkhniĭ, Solution of the generalized conjugacy problem for words in $C(p)&T(q)$–groups, Izv. Tul. Gos. Univ. Ser. Mat. Mekh. Inform. 4 (1998) 5 MR1751577 4 J Birman, K H Ko, S J Lee, A new approach to the word and conjugacy problems in the braid groups, Adv. Math. 139 (1998) 322 MR1654165 5 M G Brin, The Algebra of Strand Splitting. I. A Braided Version of Thompson's Group V arXiv:math.GR/0406042 6 M G Brin, The chameleon groups of Richard J. Thompson: automorphisms and dynamics, Inst. Hautes Études Sci. Publ. Math. (1996) MR1441005 7 K S Brown, Presentations for groups acting on simply-connected complexes, J. Pure Appl. Algebra 32 (1984) 1 MR739633 8 K U Bux, Braiding and tangling the chessboard complex arXiv:math.GT/0310420 9 D Calegari, Circular groups, planar groups, and the Euler class, from: "Proceedings of the Casson Fest", Geom. Topol. Monogr. 7, Geom. Topol. Publ., Coventry (2004) 431 MR2172491 10 J W Cannon, W J Floyd, W R Parry, Introductory notes on Richard Thompson's groups, Enseign. Math. $(2)$ 42 (1996) 215 MR1426438 11 F Degenhardt, Endlichkeitseigeinschaften gewiser Gruppen von Zöpfen unendlicher Ordnung, PhD thesis, Frankfurt (2000) 12 P Dehornoy, Geometric presentations for Thompson's groups, J. Pure Appl. Algebra 203 (2005) 1 MR2176650 13 P Dehornoy, The group of parenthesized braids, Adv. Math. 205 (2006) 354 MR2258261 14 P Dehornoy, I Dynnikov, D Rolfsen, B Wiest, Why are braids orderable?, Panoramas et Synthèses 14, Société Mathématique de France (2002) MR1988550 15 I A Dynnikov, Three-page representation of links, Uspekhi Mat. Nauk 53 (1998) 237 MR1691196 16 I A Dynnikov, Recognition algorithms in knot theory, Uspekhi Mat. Nauk 58 (2003) 45 MR2054090 17 D B A Epstein, J W Cannon, D F Holt, S V F Levy, M S Paterson, W P Thurston, Word processing in groups, Jones and Bartlett Publishers (1992) MR1161694 18 D S Farley, Finiteness and $\mathrm CAT(0)$ properties of diagram groups, Topology 42 (2003) 1065 MR1978047 19 V Fock, Dual Teichmüller spaces arXiv:dg-ga/9702018 20 L Funar, R Gelca, On the groupoid of transformations of rigid structures on surfaces, J. Math. Sci. Univ. Tokyo 6 (1999) 599 MR1742596 21 L Funar, C Kapoudjian, The Ptolemy–Thompson group is asynchronously combable arXiv:math.GT/0602490 22 L Funar, C Kapoudjian, On a universal mapping class group of genus zero, Geom. Funct. Anal. 14 (2004) 965 MR2105950 23 S M Gersten, H Short, Small cancellation theory and automatic groups. II, Invent. Math. 105 (1991) 641 MR1117155 24 É Ghys, V Sergiescu, Sur un groupe remarquable de difféomorphismes du cercle, Comment. Math. Helv. 62 (1987) 185 MR896095 25 P Greenberg, V Sergiescu, An acyclic extension of the braid group, Comment. Math. Helv. 66 (1991) 109 MR1090167 26 R I Grigorchuk, V V Nekrashevich, V I Sushchanskiĭ, Automata, dynamical systems, and groups, Tr. Mat. Inst. Steklova 231 (2000) 134 MR1841755 27 V Guba, M Sapir, Diagram groups, Mem. Amer. Math. Soc. 130 (1997) MR1396957 28 C Kapoudjian, V Sergiescu, An extension of the Burau representation to a mapping class group associated to Thompson's group $T$, from: "Geometry and dynamics", Contemp. Math. 389, Amer. Math. Soc. (2005) 141 MR2181963 29 M Kontsevich, Y Soibelman, Affine structures and non-archimedean spaces arXiv:math.AG/0406564 30 P Lochak, L Schneps, The universal Ptolemy-Teichmüller groupoid, from: "Geometric Galois actions, 2", London Math. Soc. Lecture Note Ser. 243, Cambridge Univ. Press (1997) 325 MR1653018 31 A V Malyutin, Fast algorithms for the recognition and comparison of braids, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 279 (2001) 197, 250 MR1846081 32 D R Mason, On the $2$-generation of certain finitely presented infinite simple groups, J. London Math. Soc. $(2)$ 16 (1977) 229 MR0466324 33 J Matthews, The conjugacy problem in wreath products and free metabelian groups, Trans. Amer. Math. Soc. 121 (1966) 329 MR0193130 34 L Mosher, Mapping class groups are automatic, Ann. of Math. $(2)$ 142 (1995) 303 MR1343324 35 R C Penner, The universal Ptolemy group and its completions, from: "Geometric Galois actions, 2", London Math. Soc. Lecture Note Ser. 243, Cambridge Univ. Press (1997) 293 MR1653016 36 R C Penner, J L Harer, Combinatorics of train tracks, Annals of Mathematics Studies 125, Princeton University Press (1992) MR1144770 37 D J S Robinson, A course in the theory of groups, Graduate Texts in Mathematics 80, Springer (1996) MR1357169 38 V Sergiescu, Graphes planaires et présentations des groupes de tresses, Math. Z. 214 (1993) 477 MR1245207 39 B Wiest, Diagram groups, braid groups, and orderability, J. Knot Theory Ramifications 12 (2003) 321 MR1983088 40 D Witte, Arithmetic groups of higher $\mathbf{Q}$-rank cannot act on $1$-manifolds, Proc. Amer. Math. Soc. 122 (1994) 333 MR1198459