The Conjugacy Problem for Certain Branch Groups
Informatics and Automation, Dynamical systems, automata, and infinite groups, Tome 231 (2000), pp. 215-230.

Voir la notice de l'article provenant de la source Math-Net.Ru

Дано решение проблемы сопряженности для широкого класса групп ветвящегося типа при достаточно слабых предположениях на функцию длины. Приведены примеры, демонстрирующие область приложений полученных результатов.
@article{TRSPY_2000_231_a6,
     author = {R. I. Grigorchuk and J. S. Wilson},
     title = {The {Conjugacy} {Problem} for {Certain} {Branch} {Groups}},
     journal = {Informatics and Automation},
     pages = {215--230},
     publisher = {mathdoc},
     volume = {231},
     year = {2000},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2000_231_a6/}
}
TY  - JOUR
AU  - R. I. Grigorchuk
AU  - J. S. Wilson
TI  - The Conjugacy Problem for Certain Branch Groups
JO  - Informatics and Automation
PY  - 2000
SP  - 215
EP  - 230
VL  - 231
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TRSPY_2000_231_a6/
LA  - en
ID  - TRSPY_2000_231_a6
ER  - 
%0 Journal Article
%A R. I. Grigorchuk
%A J. S. Wilson
%T The Conjugacy Problem for Certain Branch Groups
%J Informatics and Automation
%D 2000
%P 215-230
%V 231
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TRSPY_2000_231_a6/
%G en
%F TRSPY_2000_231_a6
R. I. Grigorchuk; J. S. Wilson. The Conjugacy Problem for Certain Branch Groups. Informatics and Automation, Dynamical systems, automata, and infinite groups, Tome 231 (2000), pp. 215-230. http://geodesic.mathdoc.fr/item/TRSPY_2000_231_a6/

[1] Bartholdi L., Grigorchuk R. I., “Lie methods in growth of groups and groups of finite width”, Computational and geometric aspects of modern algebra, LMS Lect. Note Ser., 275, eds. M. Atkinson, N. Gilbert, H. Howie et al., Cambridge Univ. Press, Cambridge, 2000, 1–27 | MR | Zbl

[2] Bartholdi L., Grigorchuk R. I., On the parabolic subgroups and growth of certain fractal groups, Preprint Univ. Genève, 1999

[3] Ceccherini-Silberstein T. G., Machi A., Scarabotti F., “The Grigorchuk group of intermediate growth”, Rend. Circ. Mat. Palermo (2), 50:1 (2001), 67–102 | DOI | MR

[4] Collins D. J., Miller, III, C.F., “The conjugacy problem and subgroups of finite index”, Proc. London Math. Soc., ser. 3, 34 (1977), 535–556 | DOI | MR | Zbl

[5] de la Harpe P., Topics in geometric group theory, Univ. Chicago Press, Chicago, 2000 | MR

[6] Grigorchuk R. I., “K probleme Bernsaida o periodicheskikh gruppakh”, Funkts. analiz i ego pril., 14:1 (1980), 53–54 | MR | Zbl

[7] Grigorchuk R. I., “K probleme Milnora o gruppovom roste”, DAN SSSR, 271:1 (1983), 30–33 | MR | Zbl

[8] Grigorchuk R. I., “Stepeni rosta konechno porozhdennykh grupp i teoriya invariantnykh srednikh”, Izv. AN SSSR. Ser. mat., 48:5 (1984), 939–985 | MR

[9] Grigorchuk R. I., “O stepenyakh rosta $p$-grupp i grupp bez krucheniya”, Mat. sb., 126:2 (1985), 194–214 | MR | Zbl

[10] Grigorchuk R. I., “Svyaz mezhdu algoritmicheskimi problemami i entropiinymi kharakteristikami grupp”, DAN SSSR, 284:1 (1985), 24–29 | MR | Zbl

[11] Grigorchuk R. I., “O ryade Gilberta–Puankare graduirovannykh algebr, assotsiirovannykh s gruppami”, Mat. sb., 180:2 (1989), 207–225 | MR

[12] Grigorchuk R. I., “Just infinite branch groups”, New horizons in pro-$p$ groups, Progr. Math., 184, eds. M. du Sautoy, D. Segal, A. Shalev, Birkhäuser, Boston etc., 2000, 121–179 | MR | Zbl

[13] Gupta N., Sidki S., “On the Burnside problem for periodic groups”, Math. Ztschr., 182 (1983), 385–388 | DOI | MR | Zbl

[14] Gupta N., Sidki S., “Some infinite $p$-groups”, Algebra i logika, 22:5 (1983), 584–589 | MR | Zbl

[15] Gupta N., Sidki S., “Extension of groups by tree automorphisms”, Contributions to group theory, Contemp. Math., 33, Amer. Math. Soc., Providence, R. I., 1984, 232–246 | MR

[16] Leonov Yu. G., “Problema sopryazhennosti v odnom klasse 2-grupp”, Mat. zametki, 64:4 (1998), 573–583 | MR | Zbl

[17] Neumann H., Varieties of groups, Springer-Verl., Berlin, 1967 | MR

[18] Rozhkov A. V., “Nizhnii tsentralnyi ryad odnoi gruppy avtomorfizmov derevev”, Mat. zametki, 60:2 (1996), 225–237 | MR | Zbl

[19] Rozhkov A. V., “Problema sopryazhennosti v odnoi gruppe avtomorfizmov beskonechnogo dereva”, Mat. zametki, 64:4 (1998), 592–597 | MR | Zbl

[20] Wilson J. S., “Groups with every proper quotient finite”, Proc. Cambridge Philos. Soc., 69 (1971), 373–391 | DOI | MR | Zbl

[21] Wilson J. S., “On just infinite abstract and profinite groups”, New horizons in pro-$p$ groups, Progr. Math., 184, eds. M. du Sautoy, D. Segal, A. Shalev, Birkhäuser, Boston etc., 2000, 181–203 | MR | Zbl

[22] Wilson J. S., Zalesskii P. A., “Conjugacy separability of certain torsion groups”, Arch. Math. Basel, 68 (1997), 441–449 | DOI | MR | Zbl