2018. 148 S. 220 mm
Verlag/Jahr: SÜDWESTDEUTSCHER VERLAG FÜR HOCHSCHULSCHRIFTEN 2018
ISBN: 6-202-32271-3 (6202322713)
Neue ISBN: 978-6-202-32271-3 (9786202322713)
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.Groth, Thorsten Dr. Groth studied at the Georg August University of Göttingen and did his doctorate in the same place.