| Texto completo | |
| Autor(es): |
Goncalves, Daciberg Lima
;
Sankaran, Parameswaran
;
Strebel, Ralph
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | PACIFIC JOURNAL OF MATHEMATICS; v. 287, n. 1, p. 101-158, MAR 2017. |
| Citações Web of Science: | 1 |
| Resumo | |
We show that several classes of groups G of PL-homeomorphisms of the real line admit nontrivial homomorphisms X : G -> R that are fixed by every automorphism of G. The classes enjoying the stated property include the generalizations of Thompson's group F studied by K. S. Brown (1992), M. Stein (1992), S. Cleary (1995), and Bieri and Strebel (2016), but also the class of groups investigated by Bieri, Neumann, and Strebel (Theorem 8.1 in Invent. Math. 90 (1987), 451-477). It follows that every automorphism of a group in one of these classes has infinitely many associated twisted conjugacy classes. (AU) | |
| Processo FAPESP: | 12/24454-8 - Topologia algébrica, geométrica e diferencial |
| Beneficiário: | Daciberg Lima Gonçalves |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |