Overcommuting pairs in groups and 3-manifolds bounding them
- Liechti, Livio Department of Mathematics, University of Fribourg, Chemin du Musée 23 Fribourg CH‐1700 Switzerland
- Marché, Julien Institut de Mathématiques de Jussieu, Paris Rive Gauche, Sorbonne Université, Paris cédex 05, 75252 France
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2020
Published in:
- Journal of the London Mathematical Society. - 2020, vol. 102, no. 3, p. 1160-1177
English
We introduce the notions of overcommutation and overcommutation length in groups, and show that these concepts are closely related to representations of the fundamental groups of 3-manifolds and their Heegaard genus. We give many examples including translations in the affine group of the line and provide upper bounds for the overcommutation length in SL2, related to the Steinberg relation.
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Mathématiques
- Language
-
- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
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- RERO DOC 328847
- DOI 10.1112/jlms.12359
- Persistent URL
- https://folia.unifr.ch/unifr/documents/308644
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