Geodesic
ACYLINDRICAL HYPERBOLICITY OF ARTIN–TITS GROUPS ASSOCIATED WITH TRIANGLE-FREE GRAPHS AND CONES OVER SQUARE-FREE BIPARTITE GRAPHS
Glasgow mathematical journal, Tome 64 (2022) no. 1, pp. 51-64

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DOI

It is conjectured that the central quotient of any irreducible Artin–Tits group is either virtually cyclic or acylindrically hyperbolic. We prove this conjecture for Artin–Tits groups that are known to be CAT(0) groups by a result of Brady and McCammond, that is, Artin–Tits groups associated with graphs having no 3-cycles and Artin–Tits groups of almost large type associated with graphs admitting appropriate directions. In particular, the latter family contains Artin–Tits groups of large type associated with cones over square-free bipartite graphs. 
KATO, MOTOKO; OGUNI, SHIN-ICHI. ACYLINDRICAL HYPERBOLICITY OF ARTIN–TITS GROUPS ASSOCIATED WITH TRIANGLE-FREE GRAPHS AND CONES OVER SQUARE-FREE BIPARTITE GRAPHS. Glasgow mathematical journal, Tome 64 (2022) no. 1, pp. 51-64. doi: 10.1017/S0017089520000555
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     author = {KATO, MOTOKO and OGUNI, SHIN-ICHI},
     title = {ACYLINDRICAL {HYPERBOLICITY} {OF} {ARTIN{\textendash}TITS} {GROUPS} {ASSOCIATED} {WITH} {TRIANGLE-FREE} {GRAPHS} {AND} {CONES} {OVER} {SQUARE-FREE} {BIPARTITE} {GRAPHS}},
     journal = {Glasgow mathematical journal},
     pages = {51--64},
     year = {2022},
     volume = {64},
     number = {1},
     doi = {10.1017/S0017089520000555},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089520000555/}
}
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