The Klein bottle has stably unbounded homeomorphism group
Glasgow mathematical journal, Tome 67 (2025) no. 3, pp. 494-499
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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.
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
@article{10_1017_S0017089525000084,
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/}
}
TY - JOUR AU - Böke, Lukas TI - The Klein bottle has stably unbounded homeomorphism group JO - Glasgow mathematical journal PY - 2025 SP - 494 EP - 499 VL - 67 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089525000084/ DO - 10.1017/S0017089525000084 ID - 10_1017_S0017089525000084 ER -
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