3 problems
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Positive-proportion conjecture for loxodromic elements in certain Artin-Tits commutator subgroups
Let denote one of the commutator subgroups considered in the paper, including the cases where the commutator subgroup is not covered by the preceding argument, such as…
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The genericity conjecture for loxodromic elements of Artin-Tits groups
Let be an irreducible Artin-Tits group of spherical type acting on the additional length graph , and let be a subgroup with generating system . W…
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The extension hypothesis for locally geodesic words in hyperbolic groups
Let be a hyperbolic group with a finite generating set , let be its Cayley graph, and let be the language of words over in which every subword o…