Emergent phenomena in Bi-based systems with low dimensionality
Mathematical modeling and computational methods for two-layer shallow water system...
| Full text | |
| Author(s): |
Goncalves, Daciberg Lima
;
Sankaran, Parameswaran
;
Strebel, Ralph
Total Authors: 3
|
| Document type: | Journal article |
| Source: | PACIFIC JOURNAL OF MATHEMATICS; v. 287, n. 1, p. 101-158, MAR 2017. |
| Web of Science Citations: | 1 |
| Abstract | |
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) | |
| FAPESP's process: | 12/24454-8 - Algebraic, geometric and differential topology |
| Grantee: | Daciberg Lima Gonçalves |
| Support Opportunities: | Research Projects - Thematic Grants |