Equations in Self-Similar Groups

By Thorsten Groth

We develop a toolkit to decide some quadratic equations with constants in certain self-similar groups and determine conditions under which these tools work. It turns out that for explicitly given groups the question of solvability of some equations reduces to a large but finite number of calculations. For special cases we provide the algorithms in the GAP language and use the computed results to verify that for example the Gupta-Sidki has commutator width at most 3.

• Format: Paperback
• Language: English
• ISBN: 6202322713
• ISBN13: 9786202322713
• Release Date: August 2018
• Publisher: Sudwestdeutscher Verlag Fur Hochschulschrifte
• Length: 148 Pages
• Weight: 0.50 lbs.
• Dimensions: 0.3" x 6.0" x 9.0"