This article is cited in 1 paper

The abstract commensurator of Baumslag–Solitar groups

F. A. Dudkin<sup>ab

a</sup> Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
^b Novosibirsk State University, Novosibirsk, Russia

Abstract: Presentations are found for automorphism groups of all subgroups of finite index in the Baumslag–Solitar group with coprime integer parameters not equal to $0,1$, and $-1$. An abstract commensurator of Baumslag–Solitar groups with the same parameters is described.

Keywords: Baumslag–Solitar group, subgroup of finite index, abstract commensurator, automorphism group.

UDC: 512.543

Received: 02.04.2011
Revised: 30.11.2012

 English version: Algebra and Logic, 2013, 52:1, 46–60

Bibliographic databases:

• 
• 
• 
•