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Results tagged with gr.group-theory
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user 12978
Questions about the branch of algebra that deals with groups.
24
votes
Can a group be a universal Turing machine?
I think the answer is yes, there is such a universal group. Let $G$ be the direct sum group $\bigoplus_{n \in \mathbb{N}} G_n$, where $G_n$ is $\mathbb{Z}$ if the $n$th Turing machine does not halt, …
- 6,287
4
votes
0
answers
254
views
When can a locally compact group be approximated by discrete subgroups?
This question is about partitioning a (locally) compact group into cells by using discrete subgroups.
Let $G$ be a locally compact group. (I am really most interested in the case where $G$ is a metr …
- 6,287
3
votes
Symmetries of the standard probability space
I can't explain the group theoretic structure of $\Gamma$, but I can explain the topological structure. (Warning, this post is mostly a continuous stream of thoughts. I hope it is well organized and …