Journal article

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
    2020
Published in:
  • Journal of the London Mathematical Society. - 2020
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
Persistent URL
https://folia.unifr.ch/unifr/documents/308644
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