Examples
- The canonical example is the p-adic integers
- The group of invertible n by n matrices over has an open subgroup U consisting of all matrices congruent to the identity matrix modulo . This U is a pro-p group. In fact the p-adic analytic groups mentioned above can all be found as closed subgroups of for some integer n,
- Any finite p-group is also a pro-p-group (with respect to the constant inverse system).
Read more about this topic: Pro-p Group
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