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Equations in Self-Similar Groups

Name: Equations in Self-Similar Groups
Brand: Sudwestdeutscher Verlag Fur Hochschulschriften AG
SKU: 20203050
Price: 63.29 EUR
Availability: InStock
Author: Thorsten Groth
ISBN: 9786202322713

Thorsten Groth

Language

English

Book Paperback

Libristo code: 20203050

Publishers Sudwestdeutscher Verlag Fur Hochschulschriften AG, August 2018

We develop a toolkit to decide some quadratic equations with constants in certain self-similar group... Full description

Libristo code: 20203050

155 b

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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.