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Results tagged with gr.group-theory
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user 40382
Questions about the branch of algebra that deals with groups.
11
votes
3
answers
1k
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Centralizers in amalgamated free products
An old result of Karrass and Solitar from 1970 says that if $g$ is a nontrivial element in an amalgamated free product $G=A*_HB$, with $H$ malnormal in $G$, then the centralizer of $g$ in $G$ is eithe …
- 165
4
votes
0
answers
355
views
Centralizers of elements in HNN extensions
Let $G$ be a (countable) group, $H<G$ be a proper subgroup and $\theta:H\to G$ be an injective group homomorphism such that $\theta(H)\neq G$. Consider the HNN extension $\Gamma=<G,t \mid tHt^{-1}=\th …
- 165
1
vote
1
answer
229
views
Relative amenability of subgroups
Let $\Gamma$ be a countable group and let $\Lambda_1,\Lambda_2<\Gamma$ be subgroups. We say that $\Lambda_1$ is amenable relative to $\Lambda_2$ if the action of $\Lambda_1$ on $\Gamma/\Lambda_2$ by l …
- 165