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![[parent]](http://images.planetmath.org:8080/images/uparrow.png)
pro- group
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(Definition)
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Example 1 The $p$ -adic integers $\Ints_p$ form a pro- $p$ group since: $$\Ints_p=\varprojlim \Ints/p^n\Ints.$$
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"pro- group" is owned by alozano.
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See Also:  -group
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pro p group, pro-p group, pro group |
This object's parent.
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Cross-references: projective system, inverse limit, isomorphic, profinite group, group, prime number
This is version 2 of pro- group, born on 2005-03-23, modified 2005-03-23.
Object id is 6900, canonical name is ProPGroup.
Accessed 3523 times total.
Classification:
| AMS MSC: | 20E18 (Group theory and generalizations :: Structure and classification of infinite or finite groups :: Limits, profinite groups) |
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Pending Errata and Addenda
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