Overcommuting pairs in groups and 3‐manifolds bounding them

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 pr...

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Veröffentlicht in:	Journal of the London Mathematical Society 2020-12, Vol.102 (3), p.1160-1177
Hauptverfasser:	Liechti, Livio, Marché, Julien
Format:	Artikel
Sprache:	eng
Schlagworte:	19C09 20J05 57M07 (primary) 57M27 (secondary)
Online-Zugang:	Volltext
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