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Timeline for Relative amenability of subgroups

Current License: CC BY-SA 3.0

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Sep 26, 2013 at 22:10 vote accept bemihai
Sep 26, 2013 at 20:51 answer added Jesse Peterson timeline score: 2
Sep 26, 2013 at 14:34 comment added user23860 Actually it doesn't matter, because if $\Sigma G$ is amenable relative to $\Lambda$, then $\Sigma$ (as a subgroup of $\Sigma G$) has to be amenable relative to $\Lambda$.
Sep 26, 2013 at 14:25 comment added bemihai @Vahid: Although it is not explicitly stated, I'm interested in the case when $G$ is nontrivial.
Sep 26, 2013 at 14:19 comment added user23860 I guess $\Sigma G$ is not (generally) amenable relative to $\Lambda$. Take for example $G=\{e\}$, the trivial group, then $\Sigma$ has to be amenable relative to $\Lambda$. I notice that my counterexample is not a complete proof, but I hope it sheds some light to the problem.
Sep 26, 2013 at 13:32 history asked bemihai CC BY-SA 3.0