Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-30T03:32:36.068Z Has data issue: false hasContentIssue false
  • English
  • Français

A STRUCTURAL PROPERTY CONCERNING ABSTRACT COMMENSURABILITY OF SUBGROUPS

Published online by Cambridge University Press:  17 November 2003

R. I. GRIGORCHUK  and
J. S. WILSON
R. I. GRIGORCHUK
Affiliation:
Steklov Mathematical Institute, Gubkina Street 8, Moscow 117966, Russia Current address: Department of Mathematics, Texas A&M University, College Station, TX 77843-3368, [email protected]
J. S. WILSON
Affiliation:
School of Mathematics and Statistics, University of Birmingham, Edgbaston, Birmingham B15 2TT Current address: Mathematical Institute, 24–29 St Giles', Oxford OX1 3LB [email protected]
Get access

Abstract

Further properties of a group $\Gamma$ introduced by the first author in 1980 (sometimes called the first Grigorchuk group) are established. These are notably that any two infinite finitely generated subgroups of $\Gamma$ have isomorphic subgroups of finite index and that the generalized word problem for $\Gamma$ is soluble.

Keywords

20F1020E34 (primary)20E08 (secondary)
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 68 , Issue 3 , December 2003 , pp. 671 - 682
Copyright
The London Mathematical Society 2003

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)