Browsing Fakultät für Mathematik und Informatik (inkl. GAUSS) by Advisor "Bartholdi, Laurent Prof. Dr."
Now showing items 1-6 of 6
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Lie Algebras and the Dimension Problem
(2021-11-03)The dimension subgroup problem and the Ore conjecture are two group theoretical problems. In this thesis, translations of these problems to Lie algebras are analyzed and partially solved. -
Coarse Cohomology with twisted Coefficients
(2019-04-18)This thesis studies sheaf cohomology on coarse spaces. -
Equations in Self-Similar Groups
(2018-02-16)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 ... -
Computation with finitely L-presented groups
(2012-06-20)We develop algorithms for certain infinitely presented groups, the so-called finitely L-presented groups. For this purpose, we generalize the well-known algorithms for finitely presented groups to finite L-presentations. ... -
Julia Set as a Martin Boundary
(2010-11-18)The Julia set of the class of hyperbolic rational maps having a totally disconnected Julia set is here identified as the Martin boundary of a Markov chain by using symbolic dynamics. When ... -
Discrete and Profinite Groups Acting on Regular Rooted Trees
(2010-01-14)We develop a new method to investigate groups acting on rooted trees. Considering the set of continuous functions from the automorphism group $\operatorname{Aut}X^*$ of a regular rooted tree to a finite field, we associate ...