On the Andreadakis Problem for Subgroups of $IA_n$

Darné, Jacques

Document type :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1093/imrn/rnz237

Title :

On the Andreadakis Problem for Subgroups of $IA_n$

Author(s) :

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

Journal title :

International Mathematics Research Notices

Publisher :

Oxford University Press (OUP)

Publication date :

2019-11-05

ISSN :

1073-7928

HAL domain(s) :

Mathématiques [math]

English abstract : [en]

Let Fn be the free group on n generators. Consider the group IAn of automorphisms of Fn acting trivially on its abelianization. There are two canonical filtrations on IAn⁠: the 1st one is its lower central series Γ∗⁠; the ...
Show more >Let Fn be the free group on n generators. Consider the group IAn of automorphisms of Fn acting trivially on its abelianization. There are two canonical filtrations on IAn⁠: the 1st one is its lower central series Γ∗⁠; the 2nd one is the Andreadakis filtration A∗⁠, defined from the action on Fn⁠. The Andreadakis problem consists in understanding the difference between these filtrations. Here, we show that they coincide when restricted to the subgroup of triangular automorphisms and to the pure braid group.Show less >

Language :

Anglais

Popular science :

Non

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Files

1809.07632
Open access
Access the document

On the Andreadakis Problem for Subgroups of $IA_n$ BibTeX CSV Excel RIS

Files

On the Andreadakis Problem for Subgroups of $IA_n$

BibTeX

CSV

Excel

RIS