Twisted conjugacy classes in saturated weakly branch groups

被引：34

作者：

Fel'shtyn, Alexander ^{[2
,3
]}

Leonov, Yuriy ^{[4
]}

Troitsky, Evgenij ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Dept Mech & Math, Moscow 119992, Russia

[2] Univ Szczecin, Inst Matemat, PL-70451 Szczecin, Poland

[3] Boise State Univ, Dept Math, Boise, ID 83725 USA

[4] Odessa Acad Telecommun, IT Dept, UA-65000 Odessa, Ukraine

来源：

GEOMETRIAE DEDICATA | 2008年 / 134卷 / 01期

基金：

美国国家科学基金会;

关键词：

Reidemeister number; twisted conjugacy classes; Burnside-Frobenius theorem; weakly branch group; Grigorchuk group; Gupta-Sidki group;

D O I：

10.1007/s10711-008-9245-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a wide class of saturated weakly branch groups, including the (first) Grigorchuk group and the Gupta-Sidki group, we prove that the Reidemeister number of any automorphism is infinite.

引用

页码：61 / 73

页数：13

共 30 条

[1] [Anonymous], 2000, TOPICS GEOMETRIC GRO
[2] ARTHUR J, 1989, SIMPLE ALGEBRAS BASE
[3] BLEAK C, 2007, ARXIVMATHGR07043411
[4] Generalized Kaloujnine groups, uniseriality and height of automorphisms
Ceccherini-Silberstein, TG
Leonov, YG
Scarabotti, F
Tolli, F
[J]. INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2005, 15 (03) : 503 - 527
[5] Fel'shtyn A., 2006, NONCOMMUTATIVE GEOME, P141
[6] Twisted Burnside-Frobenius theory for discrete groups
Fel'shtyn, Alexander
Troitsky, Evgenij
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2007, 613 : 193 - 210
[7] Fel'shtyn A, 2006, ALGEBRA DISCRET MATH, P36
[8] Fel'shtyn A, 2006, MATH RES LETT, V13, P719
[9] FELSHTYN A, UNPUB GEOMETRY REIDE
[10] FELSHTYN A, 2002, OTDEL MAT I STEKLOW, V279, P250

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