The generalized conjugacy problem for virtually free groups

• Tipo: Artigo em Revista Científica Internacional
• Data: 2011

Autores

Manuel Ladra (Autor) Outra; Pedro V. Silva (Autor) FCUP

Revista

Título: Forum Mathematicum

Vol. 23

Páginas: 447-482

ISSN: 0933-7741

Editora: Walter De Gruyter

Indexação

ISI Web of Knowledge - 4 Citações

ISI Web of Science

Scopus - 3 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-002-RRK

DOI: 10.1515/form.2011.015

Abstract (EN): The generalized conjugacy problem (has g a conjugate in K for K rational?) is solved for finitely generated (f.g.) virtually free groups with constraints that go beyond the context-free level, a new result for the free group itself. Moldavanskii's theorem on simultaneous conjugacy of f.g. subgroups of a free group is also generalized for virtually free groups and this wider class of constraints. The solution set of the equation x-1 g phi(x) is an element of K in the free group (phi a virtually inner automorphism, K rational) is shown to be rational and effectively constructible, and a similar result is proved for the equation xgx(-1) is an element of K in a f. g. virtually free group. The twisted conjugacy problem with context-free constraints is also proved to be decidable for the free group.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 36