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Results tagged with gr.group-theory
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user 56878
Questions about the branch of algebra that deals with groups.
6
votes
The integral closure $\overline{\mathbb{Z}}$ and the group $\overline{\mathbb{Z}}^{\times}$
I think we can describe $P$ a bit more, using Dirichlet’s unit theorem.
Since $\overline{\mathbf{Z}} = \varinjlim_{[K:\mathbf{Q}] < \infty} \mathcal{O}_K$, the same is true for the units. Now Dirichle …
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