The automorphism groups of relatively free algebras

DOI10.1006/jabr.1998.7559zbMath0919.20019OpenAlexW2054203623MaRDI QIDQ1277020

Roger M. Bryant, Vitaliĭ Roman'kov

Publication date: 8 September 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7559

zbMATH Keywords

automorphism groupsfree subgroupssmall index propertyrelatively free algebrasrelatively free groups

Mathematics Subject Classification ID

Automorphisms of infinite groups (20E36) Free nonabelian groups (20E05) Free algebras (08B20) Automorphisms and endomorphisms of algebraic structures (08A35) Infinite automorphism groups (20B27)

Related Items (6)

The commutator width of some relatively free Lie algebras and nilpotent groups ⋮ Some results on embeddings of algebras, after de Bruijn and McKenzie ⋮ On the outer automorphism groups of free groups. ⋮ Infinitely generated free nilpotent groups: completeness of the automorphism groups ⋮ Groups where free subgroups are abundant ⋮ The Small Index Property for Free Nilpotent Groups

Cites Work

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• Automorphisms of relatively free nilpotent groups of infinite rank
• The Small Index Property for Free Groups and Relatively Free Groups
• Automorphisms of free nilpotent-by-abelian groups
• GROUPS OF AUTOMORPHISMS OF N₀-CATEGORICAL STRUCTURES
• Most Finitely Generated Permutation Groups are Free
• Automorphisms of free metabelian groups of infinite rank
• The Automorphism Group of a Countable Recursively Saturated Structure
• The Small Index Property for ω‐Stable ω‐Categorical Structures and for the Random Graph
• Autour De La Propriété Du Petit Indice
• Aut (M ) Has a Large Dense Free Subgroup for Saturated M
• Automorphism groups of relatively free groups
• On automorphisms of relatively free groups

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