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2015•arXiv (Cornell University)Open access

Automorphism group of the commutator subgroup of the braid group

Orevkov, Stepan Yu.

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Abstract

Let $B'_n$ be the commutator subgroup of the braid group $B_n$. We prove that $Aut(B'_n)=Aut(B_n)$ for $n\ge4$. This answers a question asked by Vladimir Lin.

About this research paper

What this paper is about

Let $B'_n$ be the commutator subgroup of the braid group $B_n$. We prove that $Aut(B'_n)=Aut(B_n)$ for $n\ge4$. This answers a question asked by Vladimir Lin.

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Available abstract

Let $B'_n$ be the commutator subgroup of the braid group $B_n$. We prove that $Aut(B'_n)=Aut(B_n)$ for $n\ge4$. This answers a question asked by Vladimir Lin.

Key concepts: Commutator subgroup, Braid group, Group (periodic table), Mathematics, Outer automorphism group, Characteristic subgroup, Automorphism, Commutator

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