A just-nonsolvable torsion-free group defined on the binary tree

✍ Scribed by A.M. Brunner; Said Sidki; Ana Cristina Vieira

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 666 KB
• Volume: 211
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.1998.7579

✦ Synopsis

A two-generator torsion-free subgroup of the group of finite-state automorphisms of the binary tree is constructed having the properties of being just-nonsolvable and residually "torsion-free solvable." A presentation is produced for this subgroup in two generators and two relations together with their images under the iterated application of a certain simple substitution.