Defining relations for automorphism groups of free algebras

DOI10.1016/j.jalgebra.2007.01.044zbMath1132.17002arXivmath/0607237OpenAlexW2100760648MaRDI QIDQ2382982

Ualbei Utmakhanbetovich Umirbaev

Publication date: 5 October 2007

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

Full work available at URL: https://arxiv.org/abs/math/0607237

zbMATH Keywords

tame automorphismsautomorphisms of free algebrasautomorphisms of free Lie algebrasdefining relations of the automorphism groupNielsen-Schreier variety

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Automorphisms and endomorphisms (16W20) Identities, free Lie (super)algebras (17B01) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Free nonassociative algebras (17A50)

Related Items

The Jacobian Conjecture, Together with Specht and Burnside-Type Problems ⋮ Primitive and almost primitive elements of Schreier varieties ⋮ Nonabelian 1-cohomologies and conjugacy of finite subgroups in some extensions. ⋮ Groups of triangular automorphisms of a free associative algebra and a polynomial algebra. ⋮ Periodic automorphisms of the free Lie algebra of rank 3 ⋮ Free Steiner triple systems and their automorphism groups ⋮ Ualbai Utmakhanbetovich Umirbaev ⋮ On Generators of the Tame Automorphism Group of Free Metabelian Lie Algebras ⋮ Automorphism subgroups of the free Lie algebra of rank 3

Cites Work

• Defining relations for tame automorphism groups of polynomial rings and wild automorphisms of free associative algebras.
• Die Unterringe der freien Lieschen Ringe
• Subalgebras and automorphisms of polynomial rings.
• Polynomial automorphisms and the Jacobian conjecture
• Free Akivis algebras, primitive elements, and hyperalgebras
• Schreier varieties of algebras
• Defining relations of the tame automorphism group of polynomial algebras in three variables
• The Anick automorphism of free associative algebras
• The tame and the wild automorphisms of polynomial rings in three variables
• Subalgebras of free algebras
• The Nagata automorphism is wild
• Subalgebras of Free Associative Algebras
• On Schreier Varieties of Linear Algebras
• Introduction to Algebraic K-Theory. (AM-72)
• Automorphisms of a Free Associative Algebra of Rank 2. II
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