On the structure of groups with polynomial growth II

Journal of the London Mathematical Society

Volumn 63, Issue 3, 2001, Pages 640-654

  Losert, V ^a  

^a UNIVERSITY OF VIENNA   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035376956     PISSN: 00246107     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0024610701001983     Document Type: Article

References (28)

1. R. W. BAGLEY and T. S. WU, 'Maximal compact normal subgroups and pro-Lie groups', Proc. Amer. Math. Soc. 93 (1985) 373-376.
2. R. W. BAGLEY, T. S. WU and J. S. YANG, 'Compactly generated subgroups and open subgroups of locally compact groups', Proc. Amer. Math. Soc. 103 (1988) 969-976.
3. R. W. BAGLEY, T. S. WU and J. S. YANG, 'Compact and compactly generated subgroups of locally compact groups', Proc. Amer. Math. Soc. 108 (1990) 1085-1094.
4. A. M. DUGUID and D. H. MCLAIN, 'FC-nilpotent and FC-soluble groups', Proc. Cambridge Philos. Soc. 52 (1956) 391-398.
5. F. P. GREENLEAF, M. MOSKOWITZ and L. P. ROTHSCHILD, 'Unbounded conjugacy classes in Lie groups and location of central measures', Acta Math. 132 (1974) 225-243.
6. M. GROMOV, 'Groups of polynomial growth and expanding maps', Inst. Hautes Études Sci. Publ. Math. 53 (1981) 53-78.
7. S. GROSSER and M. MOSKOWITZ, 'Compactness conditions in topological groups', J. Reine Angew. Math. 246 (1971) 1-40.
8. Y. GUIVARC'H, 'Groupes de Lie á croissance polynomial', C. R. Acad. Sci. Paris Sér. A-B 272 (1971) 1695-1696.
9. Y. GUIVARC'H, 'Croissance polynomiale et périodes des fonctions harmoniques', Bull. Soc. Math. France 101 (1973) 333-379.
10. Y. GUIVARC'H, M. KEANE and B. ROYNETTE, Marches aléatoires sur les groupes de Lie, Lecture Notes in Mathematics 624 (Springer, Berlin, 1977).
11. A. HULANICKI, 'On the spectral radius of hermitian elements in group algebras', Pacific J. Math. 18 (1966) 277-287.
12. K. IWASAWA, 'On some types of topological groups', Ann. of Math. (2) 50 (1949) 507-558.
13. J. W. JENKINS, 'Growth of connected locally compact groups', J. Funct. Anal. 12 (1973) 113-127.
14. 1(G) for locally compact groups', Operator algebras and group representations - Vol. II (ed. G. Arsene, S. Stratila, A. Verona and D. Voiculescu, Pitman, Boston, 1984) 48-61.
15. V. LOSERT, 'On the structure of groups with polynomial growth', Math. Z. 195 (1987) 109-117.
16. J. LUDWIG, 'A class of symmetric and a class of Wiener group algebras', J. Funct. Anal. 31 (1979) 187-194.
17. A. I. MAL'CEV, 'On some classes of infinite soluble groups', Mat. Sb. 28 (1951) 567-588.
18. A. I. MAL'CEV, 'Nilpotent torsion-free groups', Izv. Akad. Nauk SSSR Ser. Mat. 13 (1949) 201-212.
19. A. Y. OLSHANSKII, 'An infinite group with subgroups of prime orders', Izv. Akd. Nauk SSR Ser. Mat. 44 (1980) 309-321.
20. T. W. PALMER, 'Classes of nonabelian, noncompact locally compact groups', Rocky Mountain J. Math. 8 (1978) 683-741.
21. A. T. PATERSON, Amenability, Mathematical Surveys and Monographs 29 (American Mathematical Society, Providence, RI, 1988).
22. M. S. RAGHUNATHAN, Discrete subgroups of Lie groups, Ergebnisse der Mathematik 68 (Springer, Berlin, 1972).
23. D. J. S. ROBINSON, Finiteness conditions and generalized soluble groups - Part 1, Ergebnisse der Mathematik 62 (Springer, Berlin, 1972).
24. L. SALOFF-COSTE, 'Analyse sur les groupes de Lie á croissance polynomiale', Ark. Mat. 28 (1990) 315-331.
25. J. TITS, 'Automorphismes à déplacement borné des groupes de Lie', Topology 3 (1964) 97-107 (Supplement 1).
26. N. T. VAROPOULOS, 'Analysis on Lie groups', J. Funct. Anal. 76 (1988) 346-410.
27. T. S. WU and J. S. YANG, 'FC-groups and their generalizations', J. London Math. Soc. (2) 43 (1991) 96-106.
28. T. S. WU and Y. K. YU, 'Compactness properties of topological groups', Michigan Math. J. 19 (1972) 299-313.