Luis Mendoncca

collaborators

3 papers

math.GR2025

Pure symmetric automorphisms, extensions of RAAGs, and Koszulness

Conchita MartÃnez-PÃ©rez, Luis MendonÃ§a

We characterize in terms of a combinatorial condition on the graph $I^$ when the group $PAut (A_{I^} )$ of pure symmetric automorphisms of the RAAG $A_{I^} $ and its outer versio…

math.GR2024

Generalized torsion elements in infinite groups

Raimundo Bastos, Luis MendonÃ§a

A group element is called generalized torsion if a finite product of its conjugates is equal to the identity. We show that in a finitely generated abelian-by-finite group, an eleme…

math.GR2024

Compact $p$ -adic analytic groups in which centralizers are abelian

Luis MendonÃ§a, Thomas S. Weigel, Theo Zapata

Using methods of associative algebras, Lie theory, group cohomology, and modular representation theory, we construct profinite $p$ -adic analytic groups such that the centralizer of…

Pure symmetric automorphisms, extensions of RAAGs, and Koszulness

Generalized torsion elements in infinite groups

Compact p-adic analytic groups in which centralizers are abelian

Compact $p$ -adic analytic groups in which centralizers are abelian