scholarly journals Subgroup separability, knot groups and graph manifolds

2000 ◽  
Vol 129 (3) ◽  
pp. 685-693 ◽  
Author(s):  
Graham A. Niblo ◽  
Daniel T. Wise
Keyword(s):  
Subgroup Separability ◽  
Graph Manifolds

scholarly journals Conjugacy Problem in the Fundamental Groups of High-Dimensional Graph Manifolds

Mathematics ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1330
Author(s):  
Raeyong Kim
Keyword(s):  
Group Structure ◽  
Conjugacy Problem ◽  
High Dimensional ◽  
Fundamental Groups ◽  
Graph Manifold ◽  
Solvable Word Problem ◽  
Algorithmic Problems ◽  
Graph Manifolds ◽  
Dimensional Graph ◽  
Solvable Word

The conjugacy problem for a group G is one of the important algorithmic problems deciding whether or not two elements in G are conjugate to each other. In this paper, we analyze the graph of group structure for the fundamental group of a high-dimensional graph manifold and study the conjugacy problem. We also provide a new proof for the solvable word problem.

scholarly journals Graph manifolds, left-orderability and amalgamation

2013 ◽  
Vol 13 (4) ◽  
pp. 2347-2368 ◽  
Author(s):  
Adam Clay ◽  
Tye Lidman ◽  
Liam Watson
Keyword(s):  
Graph Manifolds

scholarly journals Graph manifolds with boundary are virtually special

2013 ◽  
Vol 7 (2) ◽  
pp. 419-435 ◽  
Author(s):  
Piotr Przytycki ◽  
Daniel T. Wise
Keyword(s):  
Manifolds With Boundary ◽  
Graph Manifolds

scholarly journals Integral approximation of simplicial volume of graph manifolds

2019 ◽  
Vol 51 (4) ◽  
pp. 715-731 ◽  
Author(s):  
Daniel Fauser ◽  
Stefan Friedl ◽  
Clara Löh
Keyword(s):  
Simplicial Volume ◽  
Integral Approximation ◽  
Graph Manifolds

scholarly journals The Asymptotics of the Higher Dimensional Reidemeister Torsion for Exceptional Surgeries Along Twist Knots

2018 ◽  
Vol 61 (1) ◽  
pp. 211-224 ◽  
Author(s):  
Anh T. Tran ◽  
Yoshikazu Yamaguchi
Keyword(s):  
Asymptotic Behavior ◽  
Reidemeister Torsion ◽  
Graph Manifold ◽  
Higher Dimensional ◽  
Graph Manifolds

AbstractWe determine the asymptotic behavior of the higher dimensional Reidemeister torsion for the graph manifolds obtained by exceptional surgeries along twist knots. We show that all irreducible SL2()-representations of the graph manifold are induced by irreducible metabelian representations of the twist knot group. We also give the set of the limits of the leading coeõcients in the higher dimensional Reidemeister torsion explicitly.

Abelian subgroup separability of certain HNN extensions

2018 ◽  
Vol 28 (03) ◽  
pp. 543-552
Author(s):  
Wei Zhou ◽  
Goansu Kim
Keyword(s):  
Abelian Subgroup ◽  
Nilpotent Groups ◽  
Finitely Generated ◽  
Hnn Extensions ◽  
Subgroup Separability

In this paper, we prove that certain HNN extensions of finitely generated abelian subgroup separable groups are finitely generated abelian subgroup separable. Using this, we show that certain HNN extensions of finitely generated nilpotent groups are finitely generated abelian subgroup separable.

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