Lie Algebras and the Dimension Problem
by Thomas Sicking
Date of Examination:2020-11-30
Date of issue:2021-11-03
Advisor:Prof. Dr. Laurent Bartholdi
Referee:Prof. Dr. Laurent Bartholdi
Referee:Prof. Dr. Thomas Schick
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Abstract
English
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.
Keywords: Lie algebras; associative algebras; Lie rings; commutators; lower central series