LIMIT GROUPS ARE CONJUGACY SEPARABLE
نویسندگان
چکیده
منابع مشابه
Limit Groups are Conjugacy Separable
A limit group is a finitely generated subgroup of a residually free group. We prove the result announced in the tittle. 2000 Mathematics Subject Classification: 20E06, 20E08, 20E18, 20E26, 20E45
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We prove that any word hyperbolic group which is virtually compact special (in the sense of Haglund and Wise) is conjugacy separable. As a consequence we deduce that all word hyperbolic Coxeter groups and many classical small cancellation groups are conjugacy separable. To get the main result we establish a new criterion for showing that elements of prime order are conjugacy distinguished. This...
متن کاملA ug 2 00 9 Bianchi groups are conjugacy separable
We prove that non-uniform arithmetic lattices of SL2(C) and in particular the Bianchi groups are conjugacy separable. The proof based on recent deep results of Agol, Long, Reid and Minasyan.
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We construct an example of conjugacy separable group possessing a not conjugacy separable subgroup of finite index. We give also a sufficient condition for a conjugacy separable group to preserve this property when passing to subgroups of finite index. We establish also conjugacy separability of finitely presented residually free groups using impressive results of Bridson and Wilton [BW-07].
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ژورنال
عنوان ژورنال: International Journal of Algebra and Computation
سال: 2007
ISSN: 0218-1967,1793-6500
DOI: 10.1142/s0218196707003810