A presentation for the special automorphism group of a free group
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Publication:795167
DOI10.1016/0022-4049(84)90062-8zbMath0542.20021OpenAlexW2051407672MaRDI QIDQ795167
Publication date: 1984
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-4049(84)90062-8
presentationfree groupfull automorphism groupWhitehead automorphismsNielsen generatorsReidemeister-Schreier methodspecial automorphisms
Generators, relations, and presentations of groups (20F05) Automorphism groups of groups (20F28) Free nonabelian groups (20E05)
Related Items (29)
KAZHDAN CONSTANTS OF GROUP EXTENSIONS ⋮ On finite generation of the Johnson filtrations ⋮ A non-Abelian \(K\)-theory and pseudo-isotopies of 3-manifolds ⋮ On the edge of the stable range ⋮ Presentations of finite simple groups: a computational approach. ⋮ The complex of partial bases of a free group ⋮ Free representations of outer automorphism groups of free products via characteristic abelian coverings ⋮ Lagrangian mapping class groups from a group homological point of view ⋮ First cohomologies and the Johnson homomorphisms of the automorphism group of a free group. ⋮ The complex of partial bases for \(F_n\) and finite generation of the Torelli subgroup of \(\Aut(F_n)\). ⋮ Abelian covers of graphs and maps between outer automorphism groups of free groups. ⋮ The product replacement algorithm and Kazhdan’s property (T) ⋮ On the group of automorphisms of the free group. I: Transvections ⋮ GENERALIZED PRESENTATIONS OF INFINITE GROUPS, IN PARTICULAR OF Aut(Fω) ⋮ Outer actions of \(\mathrm{Out}(F_n)\) on small right-angled Artin groups ⋮ Euler characteristics and actions of automorphism groups of free groups ⋮ Generators and relations of ``lower-triangular automorphism groups of free groups ⋮ A presentation of a finitely generated submonoid of invertible endomorphisms of the free monoid ⋮ Automorphisms of groups ⋮ An obstruction to the strong relative hyperbolicity of a group ⋮ Twisted second homology groups of the automorphism group of a free group. ⋮ A presentation for Aut(Fn ) ⋮ Kaleidoscope substitutions and pairwise well-formed modes: major-minor duality transformationally revisited ⋮ Universal central extensions of special automorphism groups of free groups ⋮ Spaces of graphs and surfaces: on the work of Søren Galatius ⋮ On the low-dimensional cohomology groups of the IA-automorphism group of the free group of rank three ⋮ \(\Aut(\mathbb{F}_5)\) has property \((T)\) ⋮ Twisted first homology groups of the automorphism group of a free group. ⋮ Schur multipliers of automorphism groups of free groups
Cites Work
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- On free groups and their automorphisms
- 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
- On Finitely Generated Subgroups of a Free Group
- Introduction to Algebraic K-Theory. (AM-72)
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