Equations in Self-Similar Groups
(Sprache: Englisch)
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...
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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.
Autoren-Porträt von Thorsten Groth
Groth, ThorstenDr. Groth studied at the Georg August University of Göttingen and did his doctorate in the same place.
Bibliographische Angaben
- Autor: Thorsten Groth
- 2018, 148 Seiten, Maße: 22 cm, Kartoniert (TB), Englisch
- Verlag: Südwestdeutscher Verlag für Hochschulschriften
- ISBN-10: 6202322713
- ISBN-13: 9786202322713
Sprache:
Englisch
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