Peak reduction and finite presentations for automorphism groups of right-angled Artin groups.

DOI10.2140/gt.2009.13.817zbMath1226.20024arXiv0807.4799OpenAlexW3105798967MaRDI QIDQ1006141

Matthew B. Day

Publication date: 19 March 2009

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

Full work available at URL: https://arxiv.org/abs/0807.4799

zbMATH Keywords

automorphism groupsright-angled Artin groupsfinite presentationspeak reduction algorithms

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Braid groups; Artin groups (20F36) Automorphism groups of groups (20F28)

Related Items (24)

A GENERATING SET FOR THE AUTOMORPHISM GROUP OF A GRAPH PRODUCT OF ABELIAN GROUPS ⋮ Conjugacy \(p\)-separability of right-angled Artin groups and applications. ⋮ Outer space for RAAGs ⋮ Right-angled Artin groups and a generalized isomorphism problem for finitely generated subgroups of mapping class groups ⋮ On endomorphisms of the direct product of two free groups ⋮ Coarse-median preserving automorphisms ⋮ Random groups arising as graph products. ⋮ Arithmetic quotients of the automorphism group of a right-angled Artin group ⋮ Algorithmic problems for free-Abelian times free groups. ⋮ Unnamed Item ⋮ Full-featured peak reduction in right-angled Artin groups. ⋮ ON SOLVABLE SUBGROUPS OF AUTOMORPHISM GROUPS OF RIGHT-ANGLED ARTIN GROUPS ⋮ AUTOMORPHISMS OF PARTIALLY COMMUTATIVE GROUPS II: COMBINATORIAL SUBGROUPS ⋮ Outer automorphism groups of graph products: subgroups and quotients ⋮ COMPRESSED DECISION PROBLEMS FOR GRAPH PRODUCTS AND APPLICATIONS TO (OUTER) AUTOMORPHISM GROUPS ⋮ Trees, homology, and automorphism groups of right-angled Artin groups ⋮ The automorphism group of a graph product with no SIL. ⋮ A presentation for the subgroup of compressed conjugating automorphisms of a partially commutative group ⋮ Automorphisms of partially commutative groups III: Inversions and transvections ⋮ On the first cohomology of automorphism groups of graph groups ⋮ Cube complexes and abelian subgroups of automorphism groups of RAAGs ⋮ 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

Cites Work

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• Some finitely presented subgroups of the automorphism group of a free group
• Combinatorial group theory.
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• Automorphisms of 2-dimensional right-angled Artin groups.
• On equivalent sets of elements in a free group
• A Presentation for the Automorphism Group of a Free Group of Finite Rank
• Equivalence of Elements Under Automorphisms of a Free Group
• A Generating Set for the Automorphism Group of a Graph Group
• Introduction to Algebraic K-Theory. (AM-72)

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