The agrarian polytope of two‐generator one‐relator groups

The agrarian polytope of two‐generator one‐relator groups

Relying on the theory of agrarian invariants introduced in previous work, we solve a conjecture of Friedl–Tillmann: we show that the marked polytopes they constructed for two‐generator one‐relator groups with nice presentations are independent of the presentations used. We also show that, when the g...

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Autors principals: Henneke, F, Kielak, D
Format: Journal article
Idioma:English
Publicat: Wiley 2020
Descripció
Sumari:Relying on the theory of agrarian invariants introduced in previous work, we solve a conjecture of Friedl–Tillmann: we show that the marked polytopes they constructed for two‐generator one‐relator groups with nice presentations are independent of the presentations used. We also show that, when the groups are additionally torsion‐free, the agrarian polytope encodes the splitting complexity of the group. This generalises theorems of Friedl–Tillmann and Friedl–Lück–Tillmann.

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