Seminario Teoría de Grupos
Explicit free groups in division rings
Ponente: Gabriel A. L. Souza (Universidad de Valencia)Fecha: miércoles 12 de noviembre de 2025 - 16:30Lugar: Aula Naranja, ICMAT
Resumen:
In 1977, A. Lichtman formally posed the question on whether the multiplicative group of a division ring always contains a nonabelian free group. This conjecture has been widely studied, and many important cases have been settled. In this talk, we explore results that allow us to explicitly construct elements generating nonabelian free groups in some of the main classes of division rings, such as quaternion algebras and Malcev-Neumann series rings. This is joint work with Professor Jairo Z. Gonçalves.
