Results 1  10
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89
Limit groups are conjugacy separable
 IJAC
, 2007
"... We prove that nonuniform 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. 1 ..."
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Cited by 6 (0 self)
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We prove that nonuniform 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. 1
TWISTED CONJUGACY SEPARABLE GROUPS
, 2006
"... Abstract. We study the notion of twisted conjugacy separability (essentially introduced in our previous paper for a proof of twisted version of BurnsideFrobenius theorem) and some related properties. We give examples of groups with and without this property and study its behavior under some extensi ..."
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Cited by 1 (0 self)
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Abstract. We study the notion of twisted conjugacy separability (essentially introduced in our previous paper for a proof of twisted version of BurnsideFrobenius theorem) and some related properties. We give examples of groups with and without this property and study its behavior under some
A Criterion for the Conjugacy Separability of Amalgamated Free Products of Conjugacy Separable Groups
"... We first prove a criterion for the conjugacy separability of generalized free products of two conjugacy separable groups amalgamating a cyclic subgroup. Applying this result, we show that tree products of a finite number of conjugacy separable, residually finitely generated torsionfree nilpotent g ..."
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We first prove a criterion for the conjugacy separability of generalized free products of two conjugacy separable groups amalgamating a cyclic subgroup. Applying this result, we show that tree products of a finite number of conjugacy separable, residually finitely generated torsionfree nilpotent
Conjugacy separability of certain torsion groups
, 1997
"... Abstract. It is shown that certain torsion groups studied by Grigorchuk and by Gupta and Sidki are conjugacy separable. 1. Introduction. In [1, 2, 3], R. I. Grigorchuk introduced and studied some remarkable new examples of finitely generated torsion groups. These groups are residually finite and ame ..."
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Cited by 5 (0 self)
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Abstract. It is shown that certain torsion groups studied by Grigorchuk and by Gupta and Sidki are conjugacy separable. 1. Introduction. In [1, 2, 3], R. I. Grigorchuk introduced and studied some remarkable new examples of finitely generated torsion groups. These groups are residually finite
Virtual retractions, conjugacy separability and omnipotence
, 2008
"... We use wreath products to provide criteria for a group to be conjugacy separable or omnipotent. These criteria are in terms of virtual retractions onto cyclic subgroups. We give two applications: a straightforward topological proof of the theorem of Stebe that infiniteorder elements of Fuchsian grou ..."
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Cited by 2 (1 self)
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We use wreath products to provide criteria for a group to be conjugacy separable or omnipotent. These criteria are in terms of virtual retractions onto cyclic subgroups. We give two applications: a straightforward topological proof of the theorem of Stebe that infiniteorder elements of Fuchsian
Conjugacy separability and free products of groups with cyclic amalgamation
 J. London Math. Soc
, 1998
"... A group G is conjugacy separable if whenever x and y are nonconjugate elements of G, there exists some finite quotient of G in which the images of x and y are nonconjugate. It is known that free products of conjugacy separable groups are again conjugacy separable [19, 12]. The property is not pres ..."
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Cited by 15 (2 self)
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A group G is conjugacy separable if whenever x and y are nonconjugate elements of G, there exists some finite quotient of G in which the images of x and y are nonconjugate. It is known that free products of conjugacy separable groups are again conjugacy separable [19, 12]. The property
Subgroup Separability and Conjugacy Separability of Certain HNN Extensions
"... Abstract. In this note, we give characterizations for certain HNN extensions of polycyclicbyfinite groups with central associated subgroups to be subgroup separable and conjugacy separable. We shall do this by showing the equivalence of subgroup separability and conjugacy separability in this typ ..."
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Cited by 1 (1 self)
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Abstract. In this note, we give characterizations for certain HNN extensions of polycyclicbyfinite groups with central associated subgroups to be subgroup separable and conjugacy separable. We shall do this by showing the equivalence of subgroup separability and conjugacy separability
Conjugacy separability of 1acylindrical graphs of free groups
, 2009
"... Abstract. We use the theory of group actions on profinite trees to prove that the fundamental group of a finite, 1acylindrical graph of free groups with finitely generated edge groups is conjugacy separable. This has several applications: we prove that positive, C ′ (1/6) onerelator groups are con ..."
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Cited by 4 (1 self)
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Abstract. We use the theory of group actions on profinite trees to prove that the fundamental group of a finite, 1acylindrical graph of free groups with finitely generated edge groups is conjugacy separable. This has several applications: we prove that positive, C ′ (1/6) onerelator groups
The Figure Eight Knot Group is Conjugacy Separable
, 2008
"... We prove that torsion free subgroups of PGL2(C) (abstractly) commensurable with the Euclidean Bianchi groups are conjugacy separable. As a consequence we deduce the result stated in the title. 1 ..."
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Cited by 3 (2 self)
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We prove that torsion free subgroups of PGL2(C) (abstractly) commensurable with the Euclidean Bianchi groups are conjugacy separable. As a consequence we deduce the result stated in the title. 1
CONJUGACY SEPARABILITY OF SOME ONERELATOR GROUPS
, 2004
"... Abstract. Conjugacy separability of any group of the class of onerelator groups given by the presentation 〈a, b; [a m, b n] = 1 〉 (m, n> 1) is proven. ..."
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Abstract. Conjugacy separability of any group of the class of onerelator groups given by the presentation 〈a, b; [a m, b n] = 1 〉 (m, n> 1) is proven.
Results 1  10
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89