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Results tagged with geometric-group-theory
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user 4213
Large scale properties of groups; growth functions; Dehn functions; small cancellation properties; hyperbolicity and CAT(0); actions and representations; combinatorial group theory; presentations
18
votes
Accepted
Conjugating a subgroup of a group into a proper subgroup of itself
There are very simple examples with $H\cong\mathbb{Z}$. For instance
let $G$ be the affine linear group over $\mathbb{Q}$ consisting
of all maps $x\mapsto ax+b$ where $a\in\mathbb{Q}^*$ and $b\in\math …
- 20.8k
4
votes
Automorphisms of supergroups of non-coHopfian groups
Effectively you have a group $\Gamma$ and a monomorphism
$\phi:\Gamma\to\Gamma$ which is not a surjection. Take the direct limit
of the sequence $(\Gamma_n)$ where each $\Gamma_n=\Gamma$
and each map …
- 20.8k