Title of the course: Burnside-Type Probleme in Groups, Lie Algebras and Associative Algebras
Instructor: Dr. Christian d’Elbée
Institution: University of the Basque Country
Dates: 21-27 September 2026
Prerequisites: Linear algebra, groups, rings fields
Level: Graduate, advanced undergraduate
Abstract: The goal of the course is to introduce the classical results and methods revolving around Burnside-type questions. In the first part of the course, we introduce associative algebras of finite nilexponent, n-Engel Lie algebras and groups of finite exponent. In the second part of the course, we detailed the construction of the associated Lie algebra of a group, as well as the reduction of the Restricted Burnside Problem to the local nilpotency of the associated Lie algebra of a group of bounded exponent.
Language: English
Textbook:  Idea of the content; https://choum.net/~chris/cours_et_notes/GABON_courseRBP.pdf