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• W3023371551 abstract "Let $G$ be the semidirect product $Gamma rtimes F_2$ where $Gamma$ is either the free group $F_n$, $n > 1$ or the fundamental group $S_g$ of a closed surface of genus $g > 1$. We prove that $G$ is incoherent, solving two problems posed by D. Wise. This implies an affirmative answer to a question of J. Hillman on the fundamental group of a surface bundle over a surface. Although many groups have been shown to be incoherent using virtual algebraic fibering, we also show that not every free-by-free group virtually algebraically fibers." @default.
• W3023371551 created "2020-05-13" @default.
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• W3023371551 date "2020-05-03" @default.
• W3023371551 modified "2023-09-27" @default.
• W3023371551 title "Incoherence of free-by-free and surface-by-free groups" @default.
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• W3023371551 hasPublicationYear "2020" @default.
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