English

Defining relations for automorphism groups of free algebras

Rings and Algebras 2020-01-03 v1 Group Theory

Abstract

We describe a set of defining relations for automorphism groups of finitely generated free algebras of Nielsen-Schreier varieties. In particular, this gives a representation of the automorphism groups of free Lie algebras by generators and defining relations.

Keywords

Cite

@article{arxiv.math/0607237,
  title  = {Defining relations for automorphism groups of free algebras},
  author = {Ualbai Umirbaev},
  journal= {arXiv preprint arXiv:math/0607237},
  year   = {2020}
}

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14 pages