Normal Forms for Basis-Conjugating Automorphisms of a Free Group

DOI10.1142/S0218196798000314zbMath0960.20021MaRDI QIDQ4704560

Sava Krstić, Mauricio A. Gutiérrez

Publication date: 10 May 2000

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

zbMATH Keywords

relationsgeneratorsnormal formsgroups of automorphismsfree groupsregular languagesgroups of motionsbasis-conjugating automorphismssubgroups of pure braids

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Braid groups; Artin groups (20F36) Other groups related to topology or analysis (20F38) Automorphism groups of groups (20F28) Free nonabelian groups (20E05)

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A rational noncommutative invariant of boundary links ⋮ AUTOMORPHISMS OF PARTIALLY COMMUTATIVE GROUPS II: COMBINATORIAL SUBGROUPS ⋮ The pure symmetric automorphisms of a free group form a duality group ⋮ NORMAL FORMS FOR AUTOMORPHISMS OF UNIVERSAL COXETER GROUPS AND PALINDROMIC AUTOMORPHISMS OF FREE GROUPS ⋮ PROPER ACTIONS OF AUTOMORPHISM GROUPS OF FREE PRODUCTS OF FINITE GROUPS

Cites Work

• Rescuing the Whitehead method for free products. I: Peak reduction
• Automorphisms of free groups and their fixed points
• Artin groups of finite type are biautomatic
• Moduli of graphs and automorphisms of free groups
• The theory of motion groups
• Graph groups are biautomatic
• Geodesic automation and growth functions for Artin groups of finite type
• Isoperimetric inequalities for automorphism groups of free groups
• Les immeubles des groupes de tresses généralises
• ON WEAKLY DISTINGUISHED BASES AND FREE GENERATING SETS OF FREE GROUPS
• Presentations of the Automorphism Group of a Free Product
• On the Geometry of the Automorphism Group of a Free Group
• THE BRAID GROUP AND OTHER GROUPS
• Mapping class groups are automatic

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