The residual finiteness of negatively curved polygons of finite groups

By Daniel T. Wise. 2002

61 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computer Graphics and Computer-Aided Design, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/b6caf0fa9a8cab8fa9ddb5f3476e1fe2cece6f9c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Frédéric Haglund
2. Denis V. Osin
3. J. Manning
4. Ian Agol
5. D. Groves
6. Ashot Minasyan

In Computer Graphics and Computer-Aided Design

1. Frédéric Haglund
2. Denis V. Osin
3. J. Manning
4. Ian Agol
5. D. Groves
6. Ashot Minasyan

In Geometry and Topology

1. Denis V. Osin
2. Daniel T. Wise
3. Ashot Minasyan
4. Ian Agol
5. D. Groves
6. J. Manning
7. Frédéric Haglund
8. Mark F. Hagen

Citations in the corpus

• Special Cube Complexes (2008, methodology): “A central notion in [ Wi4 ,7] is a clean VH-complex, which is a certain type of nonpositively curved square complex.”
• Hereditary conjugacy separability of right angled Artin groups and its applications (2009, background): “Among virtually special groups are all Coxeter groups – see [31], fundamental groups of compact virtually clean square VH-complexes (introduced by Wise in [56]) – see [32], graph braid groups (introduced by A.”
• Peripheral fillings of relatively hyperbolic groups (2005, background): “Although in many particular cases the answer is known to be positive (see [18] and references therein), in the general case the question is still open.”
• A Residually Finite Version of Rips's Construction (2003, background): “The first ingredient is a criterion for the residual finiteness of a graph of free groups that was proven in [17].”
• Finite index subgroups of graph products (2008, methodology): “In [34,35], Wise was one of the first to study the property that all quasiconvex subgroups be separable using tools of geometric group theory.”
• Relatively hyperbolic groups: Intrinsic geometry, algebraic properties, and algorithmic problems (2004, unknown): “One of the results in this direction can be found in the paper [83], where Wise showed that negatively curved polygons of finite groups are residually finite.”
• Residual finiteness, QCERF, and fillings of hyperbolic groups (2008, methodology): “This equivalence was guessed by Dani Wise in [15].”