TY  - JOUR
AB  - 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.
DA  - 2020
DO  - 10.1112/jlms.12334
KW  - 20J05 (primary)
KW  - 12E15
KW  - 16S35
KW  - 20E06
KW  - 57Q10 (secondary)
LA  - eng
IS  - 2
M2  - 722
PY  - 2020
SN  - 0024-6107
SP  - 722-748
T2  - Journal of the London Mathematical Society. Second Series
TI  - The agrarian polytope of two-generator one-relator groups
UR  - https://nbn-resolving.org/urn:nbn:de:0070-pub-29432961
Y2  - 2024-11-21T16:45:29
ER  -