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http://hdl.handle.net/10071/12264| Author(s): | Bettencourt, G. Mendes, S. |
| Date: | 2016 |
| Title: | Homomorphisms to R generated by quasimorphisms |
| Volume: | 13 |
| Number: | 5 |
| Pages: | 3205 - 3219 |
| ISSN: | 1660-5446 |
| DOI (Digital Object Identifier): | 10.1007/s00009-016-0680-1 |
| Keywords: | Random walks on groups Homomorphisms Quasimorphisms Semidirect product |
| Abstract: | Erschler and Karlsson in Annales de l'Institut Fourier 60(6):2095-2113, 2010 construct a homomorphism of a finitely generated group G to using a random walk approach. Central to their construction were the word length and a well behaved measure on G. We consider a modified version of this construction using instead of a quasimorphism f of G. Moreover, if a group H acts on G via group automorphisms we show that this technique can be adapted to construct a homomorphism of the semidirect product to , in analogy with the word length case (Bettencourt and Mendes, Appl. Math. Inf. Sci. 9(6):1-7, 2015). |
| Peerreviewed: | yes |
| Access type: | Embargoed Access |
| Appears in Collections: | DM-RI - Artigos em revistas científicas internacionais com arbitragem científica |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Homomorphisms.pdf Restricted Access | Versão Editora | 449,68 kB | Adobe PDF | View/Open Request a copy |
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