{"product_id":"equations-in-self-similar-groups-von-thorsten-groth","title":"Equations in Self-Similar Groups","description":"\u003cp\u003eWe 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.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9786202322713\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9786202322713","offer_id":40148766752861,"sku":"9786202322713","price":67.9,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/80fe509e-2617-44ae-9575-b8f2edf5e585.jpg?v=1756186679","url":"https:\/\/shop.autorenwelt.de\/en\/products\/equations-in-self-similar-groups-von-thorsten-groth","provider":"Autorenwelt Shop","version":"1.0","type":"link"}