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Bettencourt, G. & Mendes, S. (2016). Homomorphisms to R generated by quasimorphisms. Mediterranean Journal of Mathematics. 13 (5), 3205-3219
G. H. Bettencourt and S. M. Mendes, "Homomorphisms to R generated by quasimorphisms", in Mediterranean Journal of Mathematics, vol. 13, no. 5, pp. 3205-3219, 2016
@article{bettencourt2016_1715046838260, author = "Bettencourt, G. and Mendes, S.", title = "Homomorphisms to R generated by quasimorphisms", journal = "Mediterranean Journal of Mathematics", year = "2016", volume = "13", number = "5", doi = "10.1007/s00009-016-0680-1", pages = "3205-3219", url = "http://link.springer.com/article/10.1007%2Fs00009-016-0680-1" }
TY - JOUR TI - Homomorphisms to R generated by quasimorphisms T2 - Mediterranean Journal of Mathematics VL - 13 IS - 5 AU - Bettencourt, G. AU - Mendes, S. PY - 2016 SP - 3205-3219 SN - 1660-5446 DO - 10.1007/s00009-016-0680-1 UR - http://link.springer.com/article/10.1007%2Fs00009-016-0680-1 AB - 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). ER -