Families of group presentations related to topology

Alberto Cavicchioli, Dušan Repovš, Fulvia Spaggiari

Type: Article

Publication Date: 2005-02-17

Citations: 23

DOI: https://doi.org/10.1016/j.jalgebra.2005.01.008

View Publication

Locations

Journal of Algebra - View
INFM-OAR (INFN Catania) - View - PDF

Similar Works

Action	Title	Year	Authors
+	TOPOLOGICAL PROPERTIES OF CYCLICALLY PRESENTED GROUPS	2003	Alberto Cavicchioli Dušan Repovš Fulvia Spaggiari
+	Combinatorics of a class of groups with cyclic presentation	2009	Agnese Ilaria Telloni
+	Questions on surface braid groups	2005	Paolo Bellingeri Eddy Godelle
+	Chapter 3 Basics of Hyperbolic Groups and Manifolds	2000
+	Certain classes of group presentations	1993	Bilal Vatansever
+	Hyperbolic boundaries vs. hyperbolic groups	2022	Michael Ben-Zvi Jiayi Lou Genevieve Walsh
+	On a family of triangle groups in complex hyperbolic geometry	2017	Han Ming-hua Baohua Xie Dong Xie
+ PDF Chat	Geometric group presentations	1996	Paola Bandieri
+	Finite presentation of mapping class groups of certain three-manifolds	1989	Patricia J.M. Grasse
+	Heegaard splittings of 3--manifolds (Haifa 2005)	2007
+	TOPIC PROPOSAL HYPERBOLIC GROUPS AND 3-MANIFOLDS	2014	Yan Mary He Danny Calegari
+ PDF Chat	Presentations of the fundamental group of a manifold	1976	Bogusław Hajduk
+ PDF Chat	Stable presentation length of 3–manifold groups	2018	Yoshida Ken-ichi
+	Sufficient Conditions for Recognizing a 3-manifold Group	2011	Karoline P. Null
+	On arithmetic Kleinian groups generated by three half-turns	1999	Michael Belolipetsky
+	The Geometry and Arithmetic of Kleinian Groups	2013	Colin M. MacLachlan Gaven Martin
+	POSITIVE PRESENTATIONS OF SURFACE BRAID GROUPS	2007	Paolo Bellingeri Eddy Godelle
+	Arithmetically Defined Kleinian Groups and Hyperbolic 3-Space	2022	Joachim Schwermer
+	Hyperbolic Groups	2017	Moon Duchin
+	Notes on the non local connectivity of deformation spaces of Kleinian groups(Complex Analysis and Geometry of Hyperbolic Spaces)	2006	Kenneth Bromberg

Works That Cite This (22)

Action	Title	Year	Authors
+ PDF Chat	Perfect Prishchepov groups	2021	Ihechukwu Chinyere Bernard Oduoku Bainson
+	Shift dynamics of the groups of Fibonacci type	2022	Kirk McDermott
+ PDF Chat	Isomorphism theorems for classes of cyclically presented groups	2019	E.M. Mohamed Gerald Williams
+	ON THE CLASSIFICATION OF KIM AND KOSTRIKIN MANIFOLDS	2006	Alberto Cavicchioli Luisa Paoluzzi Fulvia Spaggiari
+	On shift dynamics for cyclically presented groups	2014	William A. Bogley
+ PDF Chat	Coherence, subgroup separability, and metacyclic structures for a class of cyclically presented groups	2017	William A. Bogley Gerald Williams
+	Fibonacci type presentations and 3-manifolds	2016	James Howie Gerald Williams
+	Universal presentations for manifold groups	2007	Elena Barbieri Alberto Cavicchioli Fulvia Spaggiari
+	On a certain class of cyclically presented groups	2011	Martin Edjvet Bruno Spanu
+ PDF Chat	The cyclically presented groups with relators $x_ix_{i+k}x_{i+l}$	2010	Martin Edjvet Gerald Williams

Works Cited by This (17)

Action	Title	Year	Authors
+	Geometry of Discrete Groups	2006	Alan F. Beardon
+ PDF Chat	On the presentations of the fundamental groups of 3-manifolds	1989	Moto-o Takahashi
+	The Arithmeticity of the Figure Eight Knot Orbifolds	1992	Hugh M. Hilden María Teresa Lozano José María Montesinos-Amilibia
+ PDF Chat	On the structure of Takahashi manifolds	1998	Beatrice Ruini Fulvia Spaggiari
+	Some finitely presented non-3-manifold groups	1975	Wolfgang Heil
+	Combinatorial squashings, 3-manifolds, and the third homology of groups	1986	Allan J. Sieradski
+	Generalised Fibonacci manifolds	1997	Colin M. MacLachlan Alan W. Reid
+ PDF Chat	CycIic branched coverings of 2-bridgeknots	1999	Beatrice Ruini Fulvia Spaggiari Alberto Cavicchioli
+	Fractional Fibronacci groups and manifolds	1998	Andreĭ Vesnin A. C. Kim
+	A Finitely Generated Infinite Simple Group	1951	Graham Higman