Non-tame automorphisms of free nilpotent groups

DOI10.1080/00927879008824096zbMath0722.20017OpenAlexW2004914158MaRDI QIDQ3209316

Frank Levin, Roger M. Bryant, Chander Kanta Gupta, Horace Y. Mochizuki

Publication date: 1990

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879008824096

zbMATH Keywords

free groupfree differential calculusfree nilpotent groupfree centre-by-metabelian groupcentral automorphismnon-tame automorphisms

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Nilpotent groups (20F18) Automorphisms of infinite groups (20E36) Free nonabelian groups (20E05)

Related Items

Tame range of automorphism groups of free polynilpotent groups ⋮ Obstructions to lifting automorphisms of free algebras ⋮ Nielsen's commutator test for two-generator groups ⋮ Palindromic automorphisms of free nilpotent groups ⋮ Wild automorphisms of free metabelian algebras. ⋮ IA-automorphisms of relatively free nilpotent torsion-free groups and Lie algebras ⋮ Free nilpotent groups of rank 2 ⋮ Lie automorphisms of the algebra of two generic \(2\times 2\) matrices ⋮ On automorphisms of free center-by-metabelian and nilpotent groups and Lie algebras ⋮ Wild automorphisms of nilpotent-by-abelian Lie algebras ⋮ Lifting Primitivity of Free Nilpotent Groups ⋮ The strong Anick conjecture is true. ⋮ Automorphisms of groups ⋮ Non-tame automorphisms of free nilpotent groups of rank 2 ⋮ On the stable Andreadakis problem ⋮ ON AUTOMORPHISMS OF FREE NILPOTENT-BY-ABELIAN GROUPS ⋮ Non-commutative determinants and automorphisms of groups ⋮ Non-tame automorphisms of extensions of periodic groups

Cites Work

• Unnamed Item
• On automorphisms of free centre-by-metabelian groups
• Automorphisms of nilpotent-by-abelian groups
• On the Automorphisms of Free Groups and Free Nilpotent Groups
• Left and right inverses in group algebras