The groups Aut and Out of the fundamental group of a closed Sol 3-manifold

Autor(es)

Goncalves, Daciberg Lima ; Martins, Sergio Tadao

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF ALGEBRA AND ITS APPLICATIONS; v. N/A, p. 29-pg., 2022-07-07.

Resumo

Let E be the fundamental group of a closed Sol 3-manifold. We describe the groups Aut(E) and Out(E). We first consider the case where E is the fundamental group of a torus bundle, and then the case where E is the fundamental group of a closed Sol 3-manifold which is not a torus bundle. The groups are described in terms of some iterated semidirect products of well-known groups, where one exception is for Out(E) for some E's, in which case Out(E) is described as an extension and a presentation is given. (AU)

• Processo FAPESP: 16/24707-4 - Topologia algébrica, geométrica e diferencial
• Beneficiário: Daciberg Lima Gonçalves
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 12/24454-8 - Topologia algébrica, geométrica e diferencial
• Beneficiário: Daciberg Lima Gonçalves
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 13/07510-4 - Resoluções e cohomologia de grupos das variedades safiras (sol manifolds) e dos grupos virtualmente cíclicos
• Beneficiário: Sérgio Tadao Martins
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado