Canonicality of Makanin-Razborov Diagrams - Counterexample
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Publication:6297429
DOI10.5802/AIF.3368arXiv1802.02431WikidataQ124936662 ScholiaQ124936662MaRDI QIDQ6297429
Publication date: 7 February 2018
Abstract: Sets of solutions to finite systems of equations in a free group, are equivalent to sets of homomorphisms from a fixed f.p. group into a free group. The latter can be encoded in a diagram, the construction of which is valid also for f.g. groups. The diagram is known to be canonical for a fixed f.g. group with a fixed generating set. In this paper we prove that the construction depends on the chosen generating set of the given f.g. group.
Model-theoretic algebra (03C60) Geometric group theory (20F65) Free nonabelian groups (20E05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)
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