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Beschreibung
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.
Details
| Verlag | Südwestdeutscher Verlag für Hochschulschriften |
| Ersterscheinung | 09. August 2018 |
| Maße | 22 cm x 15 cm x 1 cm |
| Gewicht | 238 Gramm |
| Format | Softcover |
| ISBN-13 | 9786202322713 |
| Seiten | 148 |
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