Cannon–Thurston maps for $${{\,\textrm{CAT}\,}}(0)$$ groups with isolated flats

نویسندگان

چکیده

Abstract Mahan Mitra (Mj) proved Cannon–Thurston maps exist for normal hyperbolic subgroups of a group (Mitra in Topology, 37(3):527–538, 1998). We prove that do not infinite non-hyperbolic $${{\,\textrm{CAT}\,}}(0)$$ CAT ( 0 ) groups with isolated flats respect to the visual boundaries. also show infinite-index flats. obtain structure theorem these settings and outer automorphism have no purely atoroidal $$\mathbb {Z}^2$$ Z 2 subgroups.

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ژورنال

عنوان ژورنال: Mathematische Annalen

سال: 2021

ISSN: ['1432-1807', '0025-5831']

DOI: https://doi.org/10.1007/s00208-021-02245-z