Title :

On the stable Andreadakis problem

Author(s) :

Darné, Jacques [Auteur]
Institut Fourier [IF ]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Journal title :

Journal of Pure and Applied Algebra

Pages :

5484-5525

Publisher :

Elsevier

Publication date :

2019-12

ISSN :

0022-4049

English keyword(s) :

Automorphisms of free groups
Filtrations on groups
Lie algebras
Johnson morphisms
Free differential calculus
Congruence groups

HAL domain(s) :

Mathématiques [math]

English abstract : [en]

Let be the free group on n generators. Consider the group of automorphisms of acting trivially on its abelianization. There are two canonical filtrations on : the first one is its lower central series ⁎; the second one is ...
Show more >Let be the free group on n generators. Consider the group of automorphisms of acting trivially on its abelianization. There are two canonical filtrations on : the first one is its lower central series ⁎; the second one is the Andreadakis filtration ⁎, defined from the action on . In this paper, we establish that the canonical morphism between the associated graded Lie rings ⁎ and ⁎ is stably surjective. We then investigate a p-restricted version of the Andreadakis problem. A calculation of the Lie algebra of the classical congruence group is also included.Show less >

Language :

Anglais

Popular science :

Non

ANR Project :

Homotopie chromatique et K-théorie

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL