ON THE WORD AND PERIOD GROWTH OF SOME GROUPS OF TREE AUTOMORPHISMS

REFERENCES

• Bartholdi , Laurent . 1998 . The Growth of Grigorchuk's Torsion Group . Internat. Math. Res. Notices , 20 : 1349 – 1356 .
   Google Scholar
• Bartholdi , Laurent . 2000 . A Class of Groups Acting on Rooted Trees unpublished
   Google Scholar
• Bartholdi , Laurent . 2000 . Lower Bounds on the Growth of Grigorchuk's Torsion Group to appear
   Google Scholar
• Bass , Hyman . 1972 . The Degree of Polynomial Growth of Finitely Generated Nilpotent Groups . Proc. London Math. Soc. , 25 ( 3 ) : 603 – 614 .
   Google Scholar
• Bartholdi , Laurent and Grigorchuk , Rostislav I. 1999 . On the Spectrum of Hecke Type Operators Related to some Fractal Groups submitted
   Google Scholar
• Bartholdi , Laurent and Grigorchuk , Rostislav I. 2000 . Lie Methods in Growth of Groups and Groups of Finite Width to appear
   Google Scholar
• Brin , Matthew G. 1998 . Groups Acting on 1-Dimensional Spaces notes for a course at SUNY-B, Binghamton; available at http://math.birghamton.edu/matt/index.html
   Google Scholar
• Fabrykowski , Jacek and Gupta , Narain . 1991 . On Groups with Sub-Exponential Growth Function. II . J. Indian Math. Soc. (N.S.) , 56 ( 1–4 ) : 217 – 228 .
   Google Scholar
• Gécseg , Ferenc and Cśk´ny , Béla . 1971 . Algebraic Theory of Automata Budapest : Akademiami Kiado .
   Google Scholar
• Ghys , Étienne and de la Harpe , Pierre . 1990 . “ Progress in Mathematics ” . In Sur les Groups Hyperboliques d'aprè Mikhael Gromov Vol. 83 , Boston, MA : Birkhäuser Bosten Inc. . Papers from the Swiss Seminar on Hyperbolic Groups held in Bern, 1998
   Google Scholar
• Grigorchuk , Rostislav I. 1980 . On Burnside's Problem on Periodic Groups . Funktsional. Anal. i Prilozhen. , 14 ( 1 ) : 53 – 54 .
   Google Scholar
• Grigorchuk , Rostislav I. 1983 . On the Milnor Problem of Group Growth . Dokl. Akad. Nauk SSSR , 271 ( 1 ) : 30 – 33 .
   Google Scholar
• Grigorchuk , Rostislav I. 1984 . Degrees of Growth of Finitely Generated Groups and the Theory of Invariant Means . Izv. Akad. Nauk SSSR Ser. Mat. , 48 ( 5 ) : 939 – 985 .
   Google Scholar
• Grigorchuk , Rostislav I. 1985 . Degrees of Growth of p-Groups and Torsion-Free Groups . Mat. Sb. (N.S.) , 126(168) ( 2 ) : 194 – 214 . 286
   Google Scholar
• Grigorchuk , Rostislav I. 1989 . On the Hillbert-Poincaré Series of Graded Algebras that Are Associated with Groups . Mat. Sb. , 180 ( 2 ) : 207 – 225 . 304
   Google Scholar
• Grigorchuk , Rostislav I. 1997 . On the System of Defining Relations and the Schur Multiplier of Periodic Groups Generated by Finite Automata Edited by: Campbell , C. M. , Robertson , E. F. , Ruskuc , N. and Smith , Geoff C. Groups St Andrews 1997 at Bath
   Google Scholar
• Grigorchuk , Rostislav I. 1999 . Just Infinite Branched Groups Edited by: Segal , Dan . Basel : Birkaüser . to appear in Horizons in Profinite Groups
   Google Scholar
• Gromov , Mikhael . 1981 . Groups of Polynomial Growth and Expanding Maps . Inst. Hautes Études Sci. Publ. Math. , 53 : 53 – 73 .
   Google Scholar
• Gessel , Ira M. and Stanley , Richard P. 1995 . Handbook of Combinatorics 1021 – 1061 . Amsterdam : Elsevier . ch. Algebraic Enumeration
   Google Scholar
• Guivarc'h , Yves . 1970 . Groupes de Lie à Croissance Polynomiale . C. R. Acad. Sci. Paris sér. A-B , 271 : A237 – A239 .
   Google Scholar
• de la Harpe , Pierre . 2000 . Topics in Geometric Group Theory , to apear, preprint at http://www.unige.ch/math/biblio/preprint/pp98.html
   Google Scholar
• Leonov , Yuri G. 1998 . On Growth Function for some Torsion Residually Finite Groups . International Conference dedicated to the 90th Anniversary of L.S.Pontryagin (Moscow) . September 1998 . Vol. Algebra , pp. 36 – 38 . Steklov Mathematical Institute .
   Google Scholar
• Leonov , Yuri G. 1999 . On Precisement of Estimation of Periods' Growth for Grigorchuk's 2-Groups unpublished
   Google Scholar
• Milnor , John W. 1968 . Problem 5603 . Amer. Math. Monthly , 75 : 685 – 686 .
   Google Scholar
• Muchnik , Roman and Pak , Igor . 1999 . On Growth of Grigorchuk Groups preprint
   Google Scholar
• Rozhkov , Alexander V. 1986 . (russian) . Mat. Zametki , 5 : 572 – 589 .
   Google Scholar
• Tits , Jacques . 1972 . Free Subgroups in Linear Groups . J. Algebra , 20 : 250 – 270 .
   Web of Science ®Google Scholar