Conjugacy Separability in Amalgamated Products

2017 ◽  
pp. 391-427
Author(s):  
Luis Ribes
Keyword(s):  
Conjugacy Separability ◽  
Amalgamated Products

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 A Magnus theorem for some amalgamated products

2019 ◽  
Vol 47 (12) ◽  
pp. 5348-5360
Author(s):  
Carsten Feldkamp
Keyword(s):  
Amalgamated Products

Examples of amalgamated products

2001 ◽  
Vol 124 (1) ◽  
pp. 279-284
Author(s):  
Inna Bumagina
Keyword(s):  
Amalgamated Products

scholarly journals On bounded cohomology of amalgamated products of groups

2004 ◽  
Vol 2004 (40) ◽  
pp. 2103-2121 ◽  
Author(s):  
Igor V. Erovenko
Keyword(s):  
Cohomology Group ◽  
Initial Segment ◽  
Singular Part ◽  
Bounded Cohomology ◽  
Products Of Groups ◽  
Amalgamated Products ◽  
Cohomology Sequence

We investigate the structure of the singular part of the second bounded cohomology group of amalgamated products of groups by constructing an analog of the initial segment of the Mayer-Vietoris exact cohomology sequence for the spaces of pseudocharacters.

Semistability of amalgamated products and HNN-extensions

1992 ◽  
Vol 98 (471) ◽  
pp. 0-0 ◽  
Author(s):  
Michael L. Mihalik ◽  
Steven T. Tschantz
Keyword(s):  
Hnn Extensions ◽  
Amalgamated Products
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