Group laws and free subgroups in topological groups

Bulletin of the London Mathematical Society

Volumn 37, Issue 4, 2005, Pages 525-534

  Abért, Miklós ^a  

^a UNIVERSITY OF CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33644614636     PISSN: 00246093     EISSN: 14692120     Source Type: Journal    
DOI: 10.1112/S002460930500425X     Document Type: Article

References (18)

1. M. ABÉRT and Y. GLASNER, 'Generic subgroups of automorphism groups of trees', preprint, www.math.uchicago.edu/~abert.
2. L. BARTHOLDI and B. VIRÁG, 'Amenability via random walks', preprint, http://www.arxiv.org/abs/math.GR/0305262.
3. M. BHATTACHARJEE, 'The ubiquity of free subgroups in certain inverse limits of groups', J. Algebra 172 (1995) 134-146.
4. A. BOROVIK, L. PYBER and A. SHALEV, 'Maximal subgroups in finite and profinite groups', Trans. Amer. Math. Soc. 348 (1996) 3745-3761.
5. M. G. BRIN and G. C. SQUIER, 'Groups of piecewise linear homeomorphisms of the real line', Invent. Math. 79 (1985) 485-498.
6. J. D. DIXON, L. PYBER, A. SERESS and A. SHALEV, 'Residual properties of free groups and probabilistic methods', J. Reine Angew. Math. 556 (2003) 159-172.
7. R. I. GRIGORCHUK, 'Just infinite branch groups', New horizons in pro-p groups, Progr. Math. 184 (Birkhäuser, Boston, MA, 2000) 121-179.
8. R. I. GRIGORCHUK and A. ZUK, 'On a torsion free weakly branch group defined by a three state automaton', Internat J. Algebra. Comput. 12 (2002) 223-246.
9. Y. LEONOV, 'On the identities in the groups of automorphisms of trees', (in Ukrainian) Vīisn. Kiiv. Unīv. Ser. F̄iz.-Mat. Nauki (1997) 37-44.
10. A. MANN and A. SHALEV, 'Simple groups, maximal subgroups, and probabilistic aspects of profinite groups', Israel J. Math. 96 (1996) 449-468.
11. D. SEGAL, 'The finite images of finitely generated groups', Proc. London Math. Soc. (3) 82 (2001) 597-613.
12. J.-P. SERRE, Trees, translated from the French original by John Stillwell, corrected 2nd printing of the 1980 English translation, Springer Monogr. Math. (Springer, Berlin, 2003).
13. B. SZEGEDY, 'Almost all finitely generated subgroups of the Nottingham group are free', Bull. London Math. Soc. 37 (2005) 75-79.
14. T. WEIGEL, 'Residual properties of free groups I', J. Algebra 160 (1993) 16-41.
15. T. WEIGEL, 'Residual properties of free groups II', Comm. Algebra 20 (1992) 1395-1425.
16. T. WEIGEL, 'Residual properties of free groups III', Israel J. Math. 77 (1992) 65-81.
17. J. WILSON, 'On just infinite abstract and profinite groups', New horizons in pro-p groups, Progr. Math. 184 (Birkhäuser, Boston, MA, 2000) 181-203.
18. J. WILSON, 'On exponential and uniformly exponential growth for groups', preprint, http://www.unige.ch/math/biblio/preprint/2002/growth.ps.