Automorphisms of 2-dimensional right-angled Artin groups.

DOI10.2140/gt.2007.11.2227zbMath1152.20032arXivmath/0610980OpenAlexW3099745834WikidataQ115019578 ScholiaQ115019578MaRDI QIDQ2464843

Ruth M. Charney, Karen Vogtmann, John Crisp

Publication date: 17 December 2007

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610980

zbMATH Keywords

virtual cohomological dimensionouter automorphism groupsouter automorphismsright-angled Artin groupsouter space

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) Homological methods in group theory (20J05) Automorphism groups of groups (20F28)

Related Items

Orbit equivalence rigidity of irreducible actions of right-angled Artin groups, Measure equivalence classification of transvection-free right-angled Artin groups, An introduction to right-angled Artin groups., The \(R_\infty\)-property for right-angled Artin groups, Length functions of 2-dimensional right-angled Artin groups., Outer space for RAAGs, Coarse-median preserving automorphisms, Between buildings and free factor complexes: A Cohen–Macaulay complex for Out(RAAGs), Automorphisms of groups and a higher rank JSJ decomposition. I: RAAGs and a higher rank Makanin-Razborov diagram, Groups quasi-isometric to right-angled Artin groups, Structure of the automorphism group for partially commutative class two nilpotent groups., Automorphisms of partially commutative metabelian groups, Vastness properties of automorphism groups of RAAGs, AUTOMORPHISMS OF PARTIALLY COMMUTATIVE GROUPS II: COMBINATORIAL SUBGROUPS, Outer automorphism groups of graph products: subgroups and quotients, The asymptotic geometry of right-angled Artin groups. I., COMPRESSED DECISION PROBLEMS FOR GRAPH PRODUCTS AND APPLICATIONS TO (OUTER) AUTOMORPHISM GROUPS, Outer actions of \(\mathrm{Out}(F_n)\) on small right-angled Artin groups, Parabolic and quasiparabolic subgroups of free partially commutative groups., Automorphisms of partially commutative groups. I: Linear subgroups., The automorphism group of a graph product with no SIL., Cube complexes and abelian subgroups of automorphism groups of RAAGs, Peak reduction and finite presentations for automorphism groups of right-angled Artin groups., Symplectic structures on right-angled Artin groups: between the mapping class group and the symplectic group., On systems of equations over free partially commutative groups, Representations of pure symmetric automorphism groups of RAAGs, Automorphisms of two-dimensional RAAGS and partially symmetric automorphisms of free groups.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Configuration spaces of colored graphs.
• Moduli of graphs and automorphisms of free groups
• Cohomological dimension and symmetric automorphisms of a free group
• The Gromov topology on \({\mathbb{R}}\)-trees
• Equivariant outer space and automorphisms of free-by-finite groups
• Morse theory and finiteness properties of groups
• The Tits alternative for \(\text{Out}(F_n)\). I: Dynamics of exponentially-growing automorphisms
• Automorphisms of graph groups.
• Automorphisms of free groups and outer space
• Parabolic subgroups of Artin groups of type FC.
• Spaces with nonpositive curvature and their ideal boundaries
• Deformation spaces of trees.
• The Tits alternative for \(\text{Out}(F_n)\). II: A Kolchin type theorem.
• The geometry and topology of reconfiguration
• Quasi-isometric classification of graph manifold groups.
• An introduction to right-angled Artin groups.
• SURFACE SUBGROUPS OF RIGHT-ANGLED ARTIN GROUPS
• A Generating Set for the Automorphism Group of a Graph Group
• The outer space of a free product