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pro vyhledávání: '"Darné, Jacques"'
Autor:
Darné, Jacques
A nilpotent quandle is a quandle whose inner automorphism group is nilpotent. Such quandles have been called reductive in previous works, but it turns out that their behaviour is in fact very close to nilpotency for groups. In particular, we show tha
Externí odkaz:
http://arxiv.org/abs/2205.02480
Understanding the lower central series of a group is, in general, a difficult task. It is, however, a rewarding one: computing the lower central series and the associated Lie algebras of a group or of some of its subgroups can lead to a deep understa
Externí odkaz:
http://arxiv.org/abs/2201.03542
Autor:
Darné, Jacques
In this paper, we generalize the tools that were introduced in [Dar19b] in order to study the Andreadakis problem for subgroups of IAn. In particular, we study the behaviour of the Andreadakis problem when we add inner automorphisms to a subgroup of
Externí odkaz:
http://arxiv.org/abs/2006.04398
Autor:
Darné, Jacques
Soit $F_n$ le groupe libre de rang $n$. On considère le groupe $IA_n$ des automorphismes de $F_n$ qui agissent trivialement sur son abélianisé. Deux filtrations canoniques de $IA_n$ sont définies : la première est sa suite centrale descendante $
Externí odkaz:
http://www.theses.fr/2018LIL1I009/document
Autor:
Darné, Jacques
Publikováno v:
Algebr. Geom. Topol. 24 (2024) 1277-1320
We consider the group of pure welded braids (also known as loop braids) up to (link-)homotopy. The pure welded braid group classically identifies, via the Artin action, with the group of basis-conjugating automorphisms of the free group, also known a
Externí odkaz:
http://arxiv.org/abs/1904.10677
Autor:
Darné, Jacques
In this note, we show that the category of strongly central series admits co-induced actions, which means that it is Locally Algebraically Cartesian Closed. We also show that some co-induction functors exist in the category of topological groups, and
Externí odkaz:
http://arxiv.org/abs/1812.09189
Autor:
Darné, Jacques
Let $F\_n$ be the free group on $n$ generators. Consider the group $IA\_n$ of automorphisms of $F\_n$ acting trivially on its abelianization. There are two canonical filtrations on $IA\_n$: the first one is its lower central series $\Gamma\_*$; the s
Externí odkaz:
http://arxiv.org/abs/1809.07632
Autor:
Darné, Jacques
Let $F\_n$ be the free group on $n$ generators. Consider the group $IA\_n$ of automorpisms of $F\_n$ acting trivially on its abelianization. There are two canonical filtrations on $IA\_n$: the first one is its lower central series $\Gamma\_*$; the se
Externí odkaz:
http://arxiv.org/abs/1711.05991
Autor:
Darné, Jacques
Publikováno v:
In Journal of Pure and Applied Algebra December 2019 223(12):5484-5525
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