Timeline for Embedding of wreath product
Current License: CC BY-SA 4.0
4 events
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Aug 27, 2020 at 12:11 | comment | added | Mark Wildon | AGenevois' comment answers the question in any reasonable interpretation, but I'm still not sure exactly what is being asked. What representation of $O_n(\mathbb{R})$ is used to define the wreath product? Why refer to the 'set' of orthogonal groups? | |
Aug 27, 2020 at 6:40 | history | edited | YCor |
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Aug 27, 2020 at 5:26 | comment | added | AGenevois | A theorem of Burnside shows that a subgroup of finite exponent in $\mathrm{GL}(k,\mathbb{R})$ must be finite. Even the lamplighter group $\mathbb{Z}_2 \wr \mathbb{Z}$ is not a subgroup of $\mathrm{GL}(k,\mathbb{R})$. | |
Aug 27, 2020 at 5:12 | history | asked | dragoboy | CC BY-SA 4.0 |