The R-8 property for nilpotent quotients of Generalized Solvable Baumslag-Solitar groups

Autor(es)

Sgobbi, Wagner C. ; Silva, Dalton C. ; Vendruscolo, Daniel

• Tipo de documento: Artigo Científico
• Fonte: Journal of Group Theory; v. N/A, p. 15-pg., 2023-01-31.

Resumo

We say a group G has property R-infinity if the number R(phi) of twisted conjugacy classes is infinite for every automorphism phi of G. For such groups, the R-infinity-nilpotency degree is the least integer c such that G/gamma(c +1).G/ has property R-infinity. In this work, we compute the R-infinity-nilpotency degree of all Generalized Solvable Baumslag-Solitar groups euro n. Moreover, we compute the lower central series of gamma(n), write the nilpotent quotients gamma(n,c) = = gamma(n)/gamma(c +1 )(gamma(n)) as semidirect products of finitely generated abelian groups and classify which invertible integer matrices can be extended to automorphisms o gamma(n,c). (AU)

• Processo FAPESP: 16/24707-4 - Topologia algébrica, geométrica e diferencial
• Beneficiário: Daciberg Lima Gonçalves
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 19/03150-0 - Invariantes geométricos de grupos e a propiedade R-infinito
• Beneficiário: Wagner Carvalho Sgobbi
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Doutorado
• Processo FAPESP: 17/21208-0 - Invariantes geométricos de grupos e a propriedade R-infinito.
• Beneficiário: Wagner Carvalho Sgobbi
• Modalidade de apoio: Bolsas no Brasil - Doutorado