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Results tagged with gr.group-theory
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user 49854
Questions about the branch of algebra that deals with groups.
1
vote
1
answer
79
views
Dropping rank of IA automorphisms
Is there a natural way to map a given IA automorphism $\alpha\in Aut(F(X_n))$
to $Aut(F(X_{n-1}))$?
Think about braids. A pure braid on $n$ strands can be naturally mapped to a braid
on $n-1$ strands …
- 53
4
votes
1
answer
194
views
Property of IA automorphisms of free groups
For $n \in\mathbb{N}$ define:
$X_n=\{x_1,\ldots,x_n\}$,
$F(X_n)$ the free group on $X_n$,
$\varphi:F(X_n)\to F(X_{n-1})$ an epimorphism defined by $x_i\stackrel{\varphi}{\mapsto} x_i$ for $1\le i\l …
- 53