Equations in Self-Similar Groups

dc.contributor.advisor	Bartholdi, Laurent Prof. Dr.
dc.contributor.author	Groth, Thorsten
dc.date.accessioned	2018-02-16T10:51:25Z
dc.date.available	2018-02-16T10:51:25Z
dc.date.issued	2018-02-16
dc.identifier.uri	http://hdl.handle.net/11858/00-1735-0000-002E-E358-7
dc.identifier.uri	http://dx.doi.org/10.53846/goediss-6728
dc.identifier.uri	http://dx.doi.org/10.53846/goediss-6728
dc.language.iso	eng	de
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject.ddc	510	de
dc.title	Equations in Self-Similar Groups	de
dc.type	doctoralThesis	de
dc.contributor.referee	Bartholdi, Laurent Prof. Dr.
dc.date.examination	2018-02-06
dc.description.abstracteng	We introduce a method on how to decide solvebility of quadratic equations in self-similar groups and use this method to show that certain equations always have a solution. In particular the group of tree automorphisms and the Neumann-Segal groups have commutator witdth one. The Grigorchuk group and the Gupta Sidki group have commutator width at most two.	de
dc.contributor.coReferee	Alekseev, Vadim Dr.
dc.subject.eng	Self-Similar	de
dc.subject.eng	Automaton group	de
dc.subject.eng	Mealy machine	de
dc.subject.eng	quadratic equation	de
dc.subject.eng	Grigorchuk group	de
dc.subject.eng	Neumann-Segal group	de
dc.subject.eng	Commutator width	de
dc.identifier.urn	urn:nbn:de:gbv:7-11858/00-1735-0000-002E-E358-7-0
dc.affiliation.institute	Fakultät für Mathematik und Informatik	de
dc.subject.gokfull	Mathematics (PPN61756535X)	de
dc.identifier.ppn	1014290333

Name:equations.pdf

Größe:1.276Mb

Format:PDF