Space of group orderings, quasi morphisms and bounded cohomology

Details Space of group orderings, quasi morphisms and bounded cohomology Space of group orderings, quasi morphisms and bounded cohomology

2010-06-29

arxiv.org/abs/1006.5491v2

Mathematics

Group Theory

14 pages, no figures, The statement of Theorem 1 is corrected

Scientific paper

For a group $G$, we construct a quasi morphism from its left orderings and
the map from the space of left orderings to the second bounded cohomology. We
show that these maps reflect various properties of the group orderings.

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