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Quasimorphisms on free racks and free quandles

Published 23 Apr 2024 in math.GR | (2404.14752v1)

Abstract: We show that the second bounded cohomology of finitely generated free racks is infinite dimensional by constructing rack quasimorphisms using homogenous group quasimorphisms. Similar construction works in the case of free quandles. We show that Rolli's generalization to free products also works in the case of racks.

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Authors (1)

  1. Masamitsu Aoki 

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