@article{PMIHES_1996__84__5_0, author = {Brin, Matthew G.}, title = {The chameleon groups of {Richards} {J.} {Thompson} : automorphisms and dynamics}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {5--33}, publisher = {Institut des Hautes \'Etudes Scientifiques}, volume = {84}, year = {1996}, mrnumber = {99e:57003}, zbl = {0891.57037}, language = {en}, url = {http://www.numdam.org/item/PMIHES_1996__84__5_0/} }
TY - JOUR AU - Brin, Matthew G. TI - The chameleon groups of Richards J. Thompson : automorphisms and dynamics JO - Publications Mathématiques de l'IHÉS PY - 1996 SP - 5 EP - 33 VL - 84 PB - Institut des Hautes Études Scientifiques UR - http://www.numdam.org/item/PMIHES_1996__84__5_0/ LA - en ID - PMIHES_1996__84__5_0 ER -
%0 Journal Article %A Brin, Matthew G. %T The chameleon groups of Richards J. Thompson : automorphisms and dynamics %J Publications Mathématiques de l'IHÉS %D 1996 %P 5-33 %V 84 %I Institut des Hautes Études Scientifiques %U http://www.numdam.org/item/PMIHES_1996__84__5_0/ %G en %F PMIHES_1996__84__5_0
Brin, Matthew G. The chameleon groups of Richards J. Thompson : automorphisms and dynamics. Publications Mathématiques de l'IHÉS, Tome 84 (1996), pp. 5-33. http://www.numdam.org/item/PMIHES_1996__84__5_0/
[1] On groups of PL-homeomorphisms of the real line, preprint, Math. Sem. der Univ. Frankfurt, Frankfurt, 1985.
and ,[2] Groups of piecewise linear homeomorphisms of the real line, Invent. Math., 79 (1985), 485-498. | MR | Zbl
and ,[3] Finiteness properties of groups, J. Pure and Applied Algebra, 44 (1987), 45-75. | MR | Zbl
,[4] The geometry of finitely presented infinite simple groups, Algorithms and Classification in Combinatorial Group Theory, G. Baumslag and C. F. Miller, III, Eds., MSRI Publications, Number 23, Springer-Verlag, New York, 1991, p. 121-136. | MR | Zbl
,[5] The geometry of rewriting systems: a proof of the Anick-Groves-Squier Theorem, ibid., p. 137-163. | MR | Zbl
,[6] An infinite-dimensional torsion-free FP∞ group, Invent. Math., 77 (1984), 367-381. | MR | Zbl
and ,[7] Notes on Richard Thompson's groups F and T, to appear in L'Enseignement Mathématique. | Zbl
, and ,[8] An algebraically simple ordered group, Proc. Lond. Math. Soc. (3), 2 (1952), 183-197. | MR | Zbl
,[9] Groups of piecewise-linear homeomorphisms with irrational slopes, Rocky Mountain J. Math., 25 (1995), 935-955. | MR | Zbl
,[10] Shape Theory: An Introduction, Lecture Notes in Math., Number 688, Springer-Verlag, Berlin, 1978. | MR | Zbl
and ,[11] Splitting homotopy idempotents, II, J. Pure and Applied Algebra, 89 (1993), 93-106. | MR | Zbl
and ,[12] Sur un groupe remarquable de difféomorphismes du cercle, preprint IHES/M/85/65, Institut des Hautes Études Scientifiques, Bures-sur-Yvette, 1985. | Zbl
and ,[13] Sur un groupe remarquable de difféomorphismes du cercle, Comment. Math. Helvetici, 62 (1987), 185-239. | MR | Zbl
and ,[14] Pseudogroups from group actions, Amer. J. Math., 109 (1987), 893-906. | MR | Zbl
,[15] Projective aspects of the Higman-Thompson group, Group Theory from a Geometrical Viewpoint, ICTP conference, Triest, Italy, 1990, E. Ghys, A. Haefliger, A. Verjovsky, Editors, World Scientific, Singapore, 1991, p. 633-644. | MR | Zbl
,[16] An acyclic extension of the braid group, Comm. Math. Helvetici, 66 (1991), 109-138. | MR | Zbl
and ,[17] Homotopy idempotents on finite-dimensional complexes split, Proc. Amer. Math. Soc., 85 (1982), 619-622. | MR | Zbl
and ,[18] Groups of homeomorphisms with manageable automorphism groups, Comm. in Algebra, 6 (1978), 497-528. | MR | Zbl
,[19] Locally moving groups and the reconstruction problem for chains and circles, preprint, Bowling Green State University, Bowling Green, Ohio.
and ,[20] An elementary construction of unsolvable word problems in group theory, Word Problems, Boone, Cannonito and Lyndon Eds., North Holland, 1973, p. 457-478. | MR | Zbl
and ,[21] Integrability in codimension 1, Comment. Math. Helvetici, 48 (1973), 195-233. | MR | Zbl
,[22] A tour around finitely presented infinite simple groups, Algorithms and Classification in Combinatorial Group Theory, G. Baumslag and C. F. Miller, III, Eds., MSRI Publications, Number 23, Springer-Verlag, New York, 1991, p. 83-119. | MR | Zbl
,[23] Groups of piecewise linear homeomorphisms, Trans. Amer. Math. Soc., 332 (1992), 477-514. | MR | Zbl
,