A structural property concerning abstract commensurability of subgroups

Journal of the London Mathematical Society

Volumn 68, Issue 3, 2003, Pages 671-682

  Grigorchuk, R I ^a,b   Wilson, J S ^c,d  

^a STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

^b TEXAS A AND M UNIVERSITY   (United States)

^c UNIVERSITY OF BIRMINGHAM   (United Kingdom)

^d Applied Mathematics Mathematical Institute   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346271600     PISSN: 00246107     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024610703004745     Document Type: Article

References (18)

1. R. G. BURNS, 'On finitely generated subgroups of free products', Bull. Austral. Math. Soc. 12 (1971) 358-364.
2. P. DE LA HARPE, Topics in geometric group theory (University of Chicago Press, 2000).
3. R. I. GRIGORCHUK, 'On the Burnside problem for periodic groups', Funktsional. Anal. i Prilozhen. 14 (1980) 53-54 (Russian), Funct. Anal. Appl. 14 (1980) 53-54 (English).
4. R. I. GRIGORCHUK, 'On the Burnside problem for periodic groups', Funktsional. Anal. i Prilozhen. 14 (1980) 53-54 (Russian), Funct. Anal. Appl. 14 (1980) 53-54 (English).
5. R. I. GRIGORCHUK, 'On the Milnor problem of group growth', Dokl. Akad. Nauk SSSR 271 (1983) 30-33 (Russian), Soviet Math. Dokl. 28 (1983) 23-26 (English).
6. R. I. GRIGORCHUK, 'On the Milnor problem of group growth', Dokl. Akad. Nauk SSSR 271 (1983) 30-33 (Russian), Soviet Math. Dokl. 28 (1983) 23-26 (English).
7. R. I. GRIGORCHUK, 'The growth degrees of finitely generated groups and the theory of invariant means', Izv. Akad. Nauk SSSR Ser. Mat. 48 (1984) 939-985 (Russian), Math. SSSR Izv. 25 (1985) (English).
8. R. I. GRIGORCHUK, 'The growth degrees of finitely generated groups and the theory of invariant means', Izv. Akad. Nauk SSSR Ser. Mat. 48 (1984) 939-985 (Russian), Math. SSSR Izv. 25 (1985) (English).
9. R. I. GRIGORCHUK, 'Just infinite branch groups', New horizons in pro-p groups (Birkhäuser, 2000) 121-179.
10. N. GUPTA and S. SIDKI, 'On the Burnside problem for periodic groups', Math. Z. 182 (1983) 385-388.
11. D. A. LONG and G. A. NIBLO, 'Subgroup separability and 3-manifold groups', Math. Z. 207 (1991) 209-215.
12. A. I. MAL'CEV, 'On homomorphisms onto finite groups', Ivanov. Gosudarst. Ped. Inst. Uchenye Zap Fiz-Mat. Nauk 18 (1958) 49-60 (Russian), Amer. Math. Soc. Transl. Ser. 2 119 (1983) (English).
13. A. I. MAL'CEV, 'On homomorphisms onto finite groups', Ivanov. Gosudarst. Ped. Inst. Uchenye Zap Fiz-Mat. Nauk 18 (1958) 49-60 (Russian), Amer. Math. Soc. Transl. Ser. 2 119 (1983) (English).
14. J. MILNOR, 'Problem 5603', Amer. Math. Monthly 75 (1968) 685-686.
15. E. L. PERVOVA, 'Everywhere dense subgroups of one group of tree automorphisms', Trudy Mat. Inst. Steklov. 231 (2000) 356-367 (Russian), Proc. Steklov Inst. Math. 231 (2000) 139-150 (English).
16. E. L. PERVOVA, 'Everywhere dense subgroups of one group of tree automorphisms', Trudy Mat. Inst. Steklov. 231 (2000) 356-367 (Russian), Proc. Steklov Inst. Math. 231 (2000) 139-150 (English).
17. N. S. ROMANOVSKII, 'On the residual finiteness of free products with respect to subgroups', Izv. Akad. Nauk SSSR Ser. Mat. 33 (1969) 1324-1329.
18. P. SCOTT, 'Subgroups of surface groups are almost geometric', J. London Math. Soc. (2) 17 (1978) 555-565.