scholarly journals Hyperbolic 3-Manifolds Groups are Subgroup Conjugacy Separable

2019 ◽  
pp. 1
Author(s):  
Chagas
Keyword(s):  
Conjugacy Separable

scholarly journals Separating conjugates in amalgamated free products and HNN extensions

1980 ◽  
Vol 29 (1) ◽  
pp. 35-51 ◽  
Author(s):  
Joan L. Dyer
Keyword(s):  
Nilpotent Groups ◽  
Conjugacy Classes ◽  
Free Products ◽  
Amalgamated Free Products ◽  
Hnn Extensions ◽  
Nontrivial Center ◽  
One Relator Groups ◽  
Amalgamated Subgroup ◽  
Conjugacy Separable ◽  
Base Group

AbstractA group G is termed conjugacy separable (c.s.) if any pair of distinct conjugacy classes may be mapped to distinct conjugacy classes in some finite epimorph of G. The free product of A and B with cyclic amalgamated subgroup H is shown to be c.s. if A and B are both free, or are both finitely generated nilpotent groups. Further, one-relator groups with nontrivial center and HNN extensions with c.s. base group and finite associated subgroups are also c.s.

Conjugacy Separability of Certain Polygonal Products

1996 ◽  
Vol 39 (3) ◽  
pp. 294-307 ◽  
Author(s):  
Goansu Kim
Keyword(s):  
Finite Groups ◽  
Abelian Groups ◽  
Finitely Generated ◽  
Cyclic Subgroups ◽  
Conjugacy Separability ◽  
Conjugacy Separable

AbstractWe show that polygonal products of polycyclic-by-finite groups amalgamating central cyclic subgroups, with trivial intersections, are conjugacy separable. Thus polygonal products of finitely generated abelian groups amalgamating cyclic subgroups, with trivial intersections, are conjugacy separable. As a corollary of this, we obtain that the group A1 *〈a1〉A2 *〈a2〉 • • • *〈am-1〉Am is conjugacy separable for the abelian groups Ai.

scholarly journals Tree Products of Conjugacy Separable Groups

1999 ◽  
Vol 222 (2) ◽  
pp. 428-470 ◽  
Author(s):  
P.C. Wong ◽  
C.K. Tang
Keyword(s):  
Conjugacy Separable

scholarly journals Virtually compact special hyperbolic groups are conjugacy separable

2016 ◽  
Vol 91 (4) ◽  
pp. 609-627 ◽  
Author(s):  
Ashot Minasyan ◽  
Pavel Zalesskiĭ
Keyword(s):  
Hyperbolic Groups ◽  
Conjugacy Separable

Conjugacy Separability of Generalized Free Products of Certain Conjugacy Separable Groups

1995 ◽  
Vol 38 (1) ◽  
pp. 120-127 ◽  
Author(s):  
C. Y. Tang
Keyword(s):  
Finite Groups ◽  
Cyclic Subgroup ◽  
Finitely Generated ◽  
Free Products ◽  
Conjugacy Separability ◽  
Conjugacy Separable ◽  
Generalized Free Products

AbstractWe prove that generalized free products of finitely generated free-byfinite or nilpotent-by-finite groups amalgamating a cyclic subgroup areconjugacy separable. Applying this result we prove a generalization of a conjecture of Fine and Rosenberger [7] that groups of F-type are conjugacy separable.

scholarly journals Limit groups are subgroup conjugacy separable

2016 ◽  
Vol 461 ◽  
pp. 121-128 ◽  
Author(s):  
Sheila C. Chagas ◽  
Pavel A. Zalesskii
Keyword(s):  
Limit Groups ◽  
Conjugacy Separable

Residual finiteness, subgroup separability and conjugacy separability of certain HNN extensions

2012 ◽  
Vol 62 (5) ◽  
Author(s):  
K. Wong ◽  
P. Wong
Keyword(s):  
Finite Groups ◽  
Finite Subgroup ◽  
Residual Finiteness ◽  
Residually Finite ◽  
Hnn Extensions ◽  
Conjugacy Separability ◽  
Subgroup Separability ◽  
Conjugacy Separable

AbstractIn this note we shall give characterisations for HNN extensions of non-cyclic polycyclic-by-finite groups with normal infinite cyclic associated subgroups to be residually finite, subgroup separable and conjugacy separable.

scholarly journals One-relator groups with torsion are conjugacy separable

2013 ◽  
Vol 382 ◽  
pp. 39-45 ◽  
Author(s):  
Ashot Minasyan ◽  
Pavel Zalesskii
Keyword(s):  
One Relator Groups ◽  
Conjugacy Separable
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