IA-automorphisms and Lie Algebras related to the McCool group

C. E. Kofinas; V. Metaftsis; A. I. Papistas

IA-automorphisms and Lie Algebras related to the McCool group

Rings and Algebras 2019-10-15 v2 Group Theory

Authors: C. E. Kofinas , V. Metaftsis , A. I. Papistas

Abstract

In the present work we investigate a subgroup $I_n$ of the McCool group $M_n$ . We show that $I_n$ has solvable conjugacy problem. Next, we investigate its Lie Algebra gr( $I_n$ ) and we find a presentation for it. Finally we show that gr( $I_n$ ) is naturally embedded into the Andreadakis-Johnson Lie Algebra of the IA automorphisms of the free group $F_n$ .

Keywords

mccool group ia automorphisms lie algebra conjugacy problem free group andreadakis-johnson lie algebra

Cite

@article{arxiv.1901.01737,
  title  = {IA-automorphisms and Lie Algebras related to the McCool group},
  author = {C. E. Kofinas and V. Metaftsis and A. I. Papistas},
  journal= {arXiv preprint arXiv:1901.01737},
  year   = {2019}
}

Comments

22 pages, title change, to appear in J. of Algebra

IA-automorphisms and Lie Algebras related to the McCool group

Abstract

Keywords

Cite

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