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![[parent]](http://images.planetmath.org:8080/images/uparrow.png)
procyclic group
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(Definition)
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Example 1 The $p$ adic integers $\Ints_p$ form a procyclic group since: $$\Ints_p=\varprojlim \Ints/p^n\Ints.$$
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"procyclic group" is owned by alozano.
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(view preamble | get metadata)
| Other names: |
pro-cyclic group, pro-cyclic, procyclic |
This object's parent.
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Cross-references: cyclic groups, projective system, inverse limit, isomorphic, profinite group, group
There is 1 reference to this entry.
This is version 2 of procyclic group, born on 2005-03-23, modified 2005-06-01.
Object id is 6901, canonical name is ProcyclicGroup.
Accessed 3884 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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