ENDOMORPHISMS OF RELATIVELY HYPERBOLIC GROUPS
نویسندگان
چکیده
منابع مشابه
Endomorphisms of Relatively Hyperbolic Groups
We generalize some results of Paulin and Rips-Sela on endomorphisms of hyperbolic groups to relatively hyperbolic groups, and in particular prove the following. • If G is a non-elementary relatively hyperbolic group with slender parabolic subgroups, and either G is not co-Hopfian or Out(G) is infinite, then G splits over a slender group. • If H is a non-parabolic subgroup of a relatively hyperb...
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Let H be a torsion-free δ-hyperbolic group with respect to a finite generating set S. Let g1, . . . , gn and g1∗, . . . , gn∗ be elements of H such that gr∗ is conjugate to gr for each r = 1, . . . , n. There is a uniform conjugator if and only if W (g1∗, . . . , gn∗) is conjugate to W (g1, . . . , gn) for every word W in n variables and length up to a computable constant depending only on δ, ♯...
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ژورنال
عنوان ژورنال: International Journal of Algebra and Computation
سال: 2008
ISSN: 0218-1967,1793-6500
DOI: 10.1142/s0218196708004305