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Conjugacy in normal subgroups of hyperbolic groups
-
Armando Martino
and
Ashot Minasyan
Published/Copyright:
September 1, 2012
Abstract.
Let N be a finitely generated normal subgroup of a Gromov hyperbolic group 
.
We establish criteria for N to have solvable conjugacy problem and be conjugacy separable in
terms of the corresponding properties of 
. We show that the hyperbolic group
from F. Haglund's and D. Wise's version of Rips's construction
is hereditarily conjugacy separable. We then use this construction to produce
first examples of finitely generated and finitely presented conjugacy separable groups that contain
non-(conjugacy separable) subgroups of finite index.
Keywords: Hereditary conjugacy separability; normal subgroups of hyperbolic groups; Rips's construction
Received: 2010-03-18
Revised: 2010-09-13
Published Online: 2012-09-01
Published in Print: 2012-09-01
© 2012 by Walter de Gruyter Berlin Boston
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- Conjugacy in normal subgroups of hyperbolic groups
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- Higher integrability in parabolic obstacle problems
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Keywords for this article
Hereditary conjugacy separability;
normal subgroups of hyperbolic groups;
Rips's construction
Articles in the same Issue
- Masthead
- Conjugacy in normal subgroups of hyperbolic groups
- Surgery obstructions on closed manifolds and the inertia subgroup
- Higher integrability in parabolic obstacle problems
- Fundamental solutions for sum of squares of vector fields operators with C1,α coefficients
- Kuykian fields
- Multivariable manifold calculus of functors
- Weighted geometric means
- Kaplansky classes, finite character and ℵ1-projectivity
