Talk:Divisible group

I haven't been able to find out quickly what a quasicyclic group is - in relation to locally cyclic group. The usual examples of qc groups are the p-power roots of unity (under x) - is that a definition?

Charles Matthews 16:18, 19 Feb 2004 (UTC)

Some authors call p-quasicyclic group the p-primary component of Q/Z (or the p-power roots of unity, or the inductive limit of the Z/p^nZ).

Others define what a quasicyclic group is and then prove that every quasicyclic group is isomorphic to a p-primary component of Q/Z. I don't remember what they call a quasicyclic group. This is a property dual (in a way) to the property of being cyclic. I'll check at the library this week.

Pnou Mon Mar 1 10:07:06 UTC 2004

Hi folks. First line of the article says a divisible group is an abelian group with such and so. A little farther down it gives an example of a non-Abelian divisible group. That inconsistency should be fixed.

71.198.226.61 (talk) 18:36, 5 June 2012 (UTC) steve@your-mailbox.com