Wise's incoherence conjecture for free-by-free groups
Wise's incoherence conjecture for free-by-free groups
Let be a semidirect product of free groups, where . A group is incoherent if it has a finitely generated subgroup that is not finitely presented. Wise's incoherence conjecture. The group is incoherent. This conjecture is motivated by the paper's results proving incoherence for broad classes of free-by-free groups, including groups satisfying the excessive-homology criterion; the general case remains open.
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Primary source
Robert Kropholler and Genevieve Walsh, “Incoherence and fibering of many free-by-free groups”, arXiv:1910.09601 (2020).
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