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キーワード:
Mathematics, Algebraic Topology, Group Theory
要旨:
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.
