Seminario Teoría de Grupos

Raimundo Bastos (Universidad de Brasilia)

Miércoles 11,  11:30 horas

 ICMAT, Sala Naranja

Generalized torsion elements in groups

In this talk we present some properties of generalized torsion elements in groups. Moreover, we try connect this ``new'' concept with the usual concept of torsion in some standard class of groups (e.g., nilpotent, FC-groups, abelian-by-finite). This presentation is mainly based in the following papers [1,2,3]. 

[1] R. Bastos and L. Mendonca. Generalized torsion elements in finitely presented groups, in preparation. 

[2] R. Bastos, C. Schneider and D. Silveira. Generalized torsion elements in groups, Arch. Math. (Basel), 122,  121--131, 2024.  

[3] G. Naylor and D. Rolfsen. Generalized torsion in knot groups. Canad. Math. Bull., 59(1):182--189, 2016.