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Oxymoron
Oxymoron is offline
#29
Nov8-06, 10:54 PM
P: 867
The HNN-theorem says that every countable group can be embedded into a group with two generators. Could this be helpful?

In other words would the group

[tex]\bigoplus_{i\in\mathbb{N}}\mathbb{Z}_{p_i}[/tex]

be a countable group with countably many retracts? (In light of the previous question this may be the right way to go)