On solvable subgroups of automorphism groups of right-angled Artin groups - Mathematics > Group TheoryReportar como inadecuado




On solvable subgroups of automorphism groups of right-angled Artin groups - Mathematics > Group Theory - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: For any right-angled Artin group, we show that its outer automorphism groupcontains either a finite-index nilpotent subgroup or a nonabelian freesubgroup. This is a weak Tits alternative theorem. We find a criterion on thedefining graph that determines which case holds. We also consider some examplesof solvable subgroups, including one that is not virtually nilpotent and isembedded in a non-obvious way.



Autor: Matthew B. Day

Fuente: https://arxiv.org/



DESCARGAR PDF




Documentos relacionados