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Author
Date
2009-11-23Type
- Working Paper
ETH Bibliography
yes
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Abstract
Let F be the free group over a set of two or more generators. In [2] R. Brooks constructed an infinite family of quasi-morphisms F -> R such that an infinite subfamily gives rise to independent classes in the second bounded cohomology H2b(F,R), which proves that this space is infinite dimensional, cf. [7]. We give a simpler proof of this fact using a different type of quasi-morphisms. After computing the Gromov norm of the corresponding bounded classes, we generalize our example to obtain quasi-morphisms on free products, as well as quasi-morphisms into groups without small subgroups, also known as ε-representations. Show more
Publication status
publishedExternal links
Journal / series
arXivPages / Article No.
Publisher
Cornell UniversityOrganisational unit
08802 - Iozzi, Alessandra (Tit.-Prof.)
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ETH Bibliography
yes
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