The agrarian polytope of two-generator one-relator groups

Henneke F, Kielak D (2020)
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES.

Zeitschriftenaufsatz | E-Veröff. vor dem Druck | Englisch
 
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Autor*in
Henneke, Fabian; Kielak, DawidUniBi
Abstract / Bemerkung
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-Luck-Tillmann.
Stichworte
20J05 (primary); 12E15; 16S35; 20E06; 57Q10 (secondary)
Erscheinungsjahr
2020
Zeitschriftentitel
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES
ISSN
0024-6107
eISSN
1469-7750
Page URI
https://pub.uni-bielefeld.de/record/2943296

Zitieren

Henneke F, Kielak D. The agrarian polytope of two-generator one-relator groups. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES. 2020.
Henneke, F., & Kielak, D. (2020). The agrarian polytope of two-generator one-relator groups. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES. doi:10.1112/jlms.12334
Henneke, F., and Kielak, D. (2020). The agrarian polytope of two-generator one-relator groups. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES.
Henneke, F., & Kielak, D., 2020. The agrarian polytope of two-generator one-relator groups. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES.
F. Henneke and D. Kielak, “The agrarian polytope of two-generator one-relator groups”, JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2020.
Henneke, F., Kielak, D.: The agrarian polytope of two-generator one-relator groups. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES. (2020).
Henneke, Fabian, and Kielak, Dawid. “The agrarian polytope of two-generator one-relator groups”. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES (2020).