Il gruppo di Grigorchuk di crescita intermedia

Rendiconti del Circolo Matematico di Palermo

Volumn 50, Issue 1, 2001, Pages 67-102

  Ceccherini silberstein, Tullio ^a   Machì, Antonio ^b   Scarabotti, Fabio ^b  

^a UNIVERSITY OF SANNIO   (Italy)

^b SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 44249113894     PISSN: 0009725X     EISSN: 19734409     Source Type: Journal    
DOI: 10.1007/BF02843919     Document Type: Article

References (26)

1. Bass H., The degree of polynomial growth of finitely generated nilpotent groups, Proc. London Math. Soc., 25 (1972), 603-614.
2. Baumslag G., Topics in combinatorial group theory, Birkhäuser, Basel 1993.
3. Chou, C., Elementary amenable groups, Illinois J. Math., 24 (1980), 396-407.
4. Ceccherini-Silberstein T., Grigorchuk R. I. and de la Harpe P., Amenability and paradoxical decompositions for pseudogroups and for discrete metric spaces, Proc. Steklov Inst. Math., 224 (1999), 57-97.
5. Day M., Amenable semigroups, Illinois J. Math., 1 (1957), 509-544.
6. Grigorchuk R. I., On Burnside's problem on periodic groups, Funct. Anal. Appl. 14 (1980), 41-43; traduzione da Funkt. Anal. Prilozh., 14, No. 1 (1980), 53-54.
7. Grigorchuk R. I., On Milnor's problem of group growth, Sov. Math. Dokl., 28 (1983); traduzione da Dokl. Akad. Nauk SSSR, 271, 1 (1983), 31-33.
8. Grigorchuk R. I., Degrees of growth of finitely generated groups, and the theory of invariant means, Math. USSR Izv., 25 (1985), 259-300; traduzione da Izv. Akad. Nauk SSSR, Ser. Mat., 48, No., 5 (1984), 939-985.
9. Grigorchuk R. I., On the growth degrees of p-groups and torsion-free groups, Math. USSR Sbornik, 54 (1986), 185-205; traduzione da Mat. Sb. (N. S.), 126 (168) (1985), n. 2, 194-214.
10. Grigorchuk R. I., Superamenability and the problem of occurrence of free semigroups, Functional Analysis and its Applications, 21, 1 (1987), 64-66; originale russo 74-75.
11. Grigorchuk R. I., The notion of growth in group theory, Proceedings ICM Kyoto 1990.
12. Grigorchuk R. I., On a problem of Day on nonelementary amenable groups in the class of finitely presented groups, Math. Notes, 60, 5 (1996), 580-582; originale russo 774-775.
13. Grigorchuk R. I., An example of a finitely presented amenable group not belonging to the class EG, Math. Sb., 189 (1998), 79-100.
14. Gromov M., Groups of polynomial growth and expanding maps, Publ. Math. I. H. E. S., 53 (1981), 53-78.
15. de la Harpe P., Topics in geometric group theory, University of Chicago Press, to appear.
16. Ivanov A. G., Fecklichev, A. V., Unboundedness of the exponential curve of Grigorchuk's group, Seventh All-Union Symposium on Group Theory (Shushenskoe, 1980) (in russo), Krasnoyarsk Gos. Univ., Krasnoyarsk, 1980.
17. Kargapolov M. and Merzliakov Iou., Eléments de la théorie des groupes, Editions MIR, Moscou (traduzione francese 1985).
18. Lysionok I. G., A system of defining relations for a Grigorchuk group, Math. Notes, 38 (1985), 784-792; traduzione da Mat. Zametki38, No. 4 (1985), 503-516.
19. Milnor J., A note on curvature and fundamental group, J. Differential Geometry, 2 (1968), 1-7.
20. Milnor J., Growth of finitely generated solvable groups, J. Differential Geometry, 2 (1968), 447-449.
21. Milnor J., Problem 5603, Am. Math. Monthly, 75 n. 6 (1968), 685-686.
22. Rosenblatt J. M., Invariant measures and growth conditions, Trans. Amer. Math. Soc., 193 (1974), 33-53.
23. Wagon S., The Banach-Tarski paradox, Cambridge Univ. Press, Cambridge 1985.
24. Wolf J. A., Growth of finitely generated sovable groups and curvature of Riemannian manifolds, J. Diff. Geom., 2 (1968), 421-446.
25. Zel'manov E., A solution of the restricted Burnside problem for groups of odd exponent, Math. USSR Izvestiya, 36, 1 (1991), 41-60.
26. Zel'manov E., A solution of the restricted Burnside problem for 2-groups, Math. USSR Sbornik, 72, 2 (1992), 543-565.