Free-by-cyclic groups with coarse medians are algebraically characterized by unbranched blocks in maximal virtually F_n x Z subgroups and excessive linearity of completely split relative train track maps.
Asymptotically CAT(0) metrics, z-structures, and the farrell-jones conjecture.arXiv preprint arXiv:2504.17048
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Characterizing hierarchically hyperbolic free by cyclic groups
Free-by-cyclic groups with coarse medians are algebraically characterized by unbranched blocks in maximal virtually F_n x Z subgroups and excessive linearity of completely split relative train track maps.