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Mathematics > Group Theory

Title: Quasimorphisms on free racks and free quandles

Authors: Masamitsu Aoki
(Submitted on 23 Apr 2024)
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.
Comments: 8 pages
Subjects: Group Theory (math.GR)
Cite as: arXiv:2404.14752 [math.GR]
  (or arXiv:2404.14752v1 [math.GR] for this version)

Submission history

From: Masamitsu Aoki [view email]
[v1] Tue, 23 Apr 2024 05:29:30 GMT (9kb)
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