Homomorphisms to R generated by quasimorphisms

Detalhes bibliográficos
Autor(a) principal: Bettencourt, G.
Data de Publicação: 2016
Outros Autores: Mendes, S.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10071/12264
Resumo: 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).
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spelling Homomorphisms to R generated by quasimorphismsRandom walks on groupsHomomorphismsQuasimorphismsSemidirect productErschler 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).Springer2016-12-14T15:38:25Z2016-01-01T00:00:00Z20162019-04-10T09:40:20Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10071/12264eng1660-544610.1007/s00009-016-0680-1Bettencourt, G.Mendes, S.info:eu-repo/semantics/embargoedAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-09T17:40:25Zoai:repositorio.iscte-iul.pt:10071/12264Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:18:42.813355Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Homomorphisms to R generated by quasimorphisms
title Homomorphisms to R generated by quasimorphisms
spellingShingle Homomorphisms to R generated by quasimorphisms
Bettencourt, G.
Random walks on groups
Homomorphisms
Quasimorphisms
Semidirect product
title_short Homomorphisms to R generated by quasimorphisms
title_full Homomorphisms to R generated by quasimorphisms
title_fullStr Homomorphisms to R generated by quasimorphisms
title_full_unstemmed Homomorphisms to R generated by quasimorphisms
title_sort Homomorphisms to R generated by quasimorphisms
author Bettencourt, G.
author_facet Bettencourt, G.
Mendes, S.
author_role author
author2 Mendes, S.
author2_role author
dc.contributor.author.fl_str_mv Bettencourt, G.
Mendes, S.
dc.subject.por.fl_str_mv Random walks on groups
Homomorphisms
Quasimorphisms
Semidirect product
topic Random walks on groups
Homomorphisms
Quasimorphisms
Semidirect product
description 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).
publishDate 2016
dc.date.none.fl_str_mv 2016-12-14T15:38:25Z
2016-01-01T00:00:00Z
2016
2019-04-10T09:40:20Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10071/12264
url http://hdl.handle.net/10071/12264
dc.language.iso.fl_str_mv eng
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dc.relation.none.fl_str_mv 1660-5446
10.1007/s00009-016-0680-1
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