The Klein bottle has stably unbounded homeomorphism group
Glasgow mathematical journal, Tome 67 (2025) no. 3, pp. 494-499

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DOI

Using a recent result of Bowden, Hensel and Webb, we prove the existence of a homeomorphism with positive stable commutator length in the group of homeomorphisms of the Klein bottle which are isotopic to the identity.
DOI : 10.1017/S0017089525000084
Mots-clés : stable commutator length, norms on groups, homeomorphism groups, fine curve graph
Böke, Lukas. The Klein bottle has stably unbounded homeomorphism group. Glasgow mathematical journal, Tome 67 (2025) no. 3, pp. 494-499. doi: 10.1017/S0017089525000084
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     author = {B\"oke, Lukas},
     title = {The {Klein} bottle has stably unbounded homeomorphism group},
     journal = {Glasgow mathematical journal},
     pages = {494--499},
     year = {2025},
     volume = {67},
     number = {3},
     doi = {10.1017/S0017089525000084},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089525000084/}
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