Conjugation in tree automorphism groups

International Journal of Algebra and Computation

Volumn 11, Issue 5, 2001, Pages 529-547

  Gawron, Piotr W ^a   Nekrashevych, Volodymyr V ^b   Sushchansky, Vitaly I ^a  

^a SILESIAN UNIVERSITY OF TECHNOLOGY   (Poland)

^b TARAS SHEVCHENKO NATIONAL UNIVERSITY OF KYIV   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035597362     PISSN: 02181967     EISSN: None     Source Type: Journal    
DOI: 10.1142/S021819670100070X     Document Type: Article

References (12)

1. H. Bass, M. V. Otero-Espinar, D. N. Rockmore and C. P. L. Tresser, Cyclic Renormalisation and Automorphism Groups of Rooted Trees, Springer, Berlin, 1996, pp. 163.
2. O. E. Bezushchak and V. I. Sushchansky, l-wreath products and isometries of generalized Baire's metrics, Ukrain. Math. J. 43(7-8) (1991), 1031-1038 (in Russian).
3. A. M. Brunner and S. Sidki, On the automorphism group of the one-rooted binary tree, J. Algebra 195 (1997), 465-486.
4. L. A. Kaluznin, P. M. Beleckiy and V. Z. Fejnberg, Kranzprodukte, Teubner-Texte zur Mathematik 101 (1987), pp. 167.
5. R. Lyndon, Problems in combinatorial group theory, in Combinatorial Groups Theory and Topology, eds. S. M. Gersten and J. R. Stallings, Ann. Math. Stud., Princeton University Press, Princeton, 1987, pp. 3-33.
6. R. Möller, The automorphism groups of regular trees, J. London Math. Soc. 2 (43) (1991), 236-252.
7. J.-P. Serre, Trees, Springer, New York, 1988.
8. V. I. Sushchansky, Ambivalence of the automorphism group of a regular tree, Dopovidi AN Ukrain. 11 (1992), 5-9 (in Russian).
9. V. I. Sushchansky, Universal by embedding profinite groups of a countable weight, Zap. Nauch. Sem. LOMI (1989), 113-120 (in Russian).
10. V. I. Sushchansky, Normal structure of isometric groups of semifinite Baire's metric, in Infinite Groups and Related Algebraic Structures Kyiv Institute Math. AN Ukrain, Kyiv, 1993, 269-289 (in Russian).
11. J. Tits, Sur le groupe des automorphismes d'un arbre, in Essays on Topology and Related Topics (Mémoirie dédies à G. de Rham), Springer, Berlin, 1980, pp. 188-211.
12. D. V. Znoiko, The automorphism groups of regular trees, Math. USSR Sb. 32 (1977), 109-115 (in Russian).