Induced Automorphisms of Free Groups and Free Metabelian Groups
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Publication:5343416
DOI10.2307/1994498zbMath0133.28101OpenAlexW2053722037MaRDI QIDQ5343416
Publication date: 1966
Full work available at URL: https://doi.org/10.2307/1994498
Related Items (40)
On finite generation of the Johnson filtrations ⋮ When endomorphisms of G inducing automorphisms of G/V are automorphisms ⋮ Automorphism groups of free nilpotent groups ⋮ Nielsen's commutator test for two-generator groups ⋮ All automorphisms of the 3-nilpotent free group of countably infinite rank can be lifted ⋮ On finiteness properties of the Johnson filtrations ⋮ Topological invariants of groups and Koszul modules ⋮ The algebraic braid groups are torsion-free: An algebraic proof ⋮ Automorphisms of relatively free nilpotent groups of infinite rank ⋮ The swap conjecture of Tennant and Turner ⋮ Automorphisms of a Class of Metabelian Groups ⋮ Automorphisms of a Class of Metabelian Groups. II ⋮ On primitive and inner endomorphisms of groups ⋮ On the basis-conjugating automorphism groups of free groups and free metabelian groups ⋮ On the augmentation quotients of the IA-automorphism group of a free group. ⋮ On the derivation algebra of the free Lie algebra and trace maps ⋮ IA-automorphisms of relatively free nilpotent torsion-free groups and Lie algebras ⋮ Induced Automorphisms of Free Metabelian Groups ⋮ On transitivity and (non)amenability of \(\Aut F_n\) actions on group presentations. ⋮ Automorphism sequences of free nilpotent groups of class two ⋮ Automorphism groups of free metabelian nilpotent groups ⋮ The third subgroup of the Andreadakis-Johnson filtration of the automorphism group of a free group ⋮ Lifting Primitivity of Free Nilpotent Groups ⋮ Generators for the automorphism groups of free metabelian pro-\(p\)-groups ⋮ Automorphisms of groups ⋮ On the Andreadakis conjecture restricted to the “lower-triangular” automorphism groups of free groups ⋮ Representation stability for filtrations of Torelli groups ⋮ The cokernel of the Johnson homomorphisms of the automorphism group of a free metabelian group ⋮ Characterizing a free group in its automorphism group ⋮ Subgroups of IA automorphisms of a free group ⋮ Primitive elements in the free metabelian group of rank \(3\) ⋮ Automorphismen und Erzeugende für Gruppen mit einer definierenden Relation ⋮ Ranks of the factors of the lower central series for a free solvable group ⋮ On the low-dimensional cohomology groups of the IA-automorphism group of the free group of rank three ⋮ An analog of Witt's formula for free solvable groups ⋮ General theory of groups ⋮ Non-tame automorphisms of extensions of periodic groups ⋮ Lifting nilpotent automorphisms and the (3.5)-theorem ⋮ Versal extensions and automorphisms of free nilpotent groups ⋮ Automorphisms of free nilpotent-by-abelian groups
Cites Work
- Beziehungen zwischen Gruppen und Idealen in einem speziellen Ring
- Über \(n\)-dimensionale Gittertransformationen
- On a theorem of Marshall Hall
- Free differential calculus. I: Derivation in the free group ring
- A Contribution to the Theory of Groups of Prime-Power Order
- Automorphisms of Free Metabelian Groups
- On the Automorphisms of Free Groups and Free Nilpotent Groups
- Varieties of groups
- On automorphisms of relatively free groups
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