Skip to main content

Timeline for Dense cyclic subgroup

Current License: CC BY-SA 2.5

13 events
when toggle format what by license comment
Oct 5, 2010 at 20:53 vote accept Bad English
S Oct 5, 2010 at 20:52 vote accept Bad English
Oct 5, 2010 at 20:52
S Oct 5, 2010 at 20:51 vote accept Bad English
S Oct 5, 2010 at 20:52
Oct 5, 2010 at 19:42 vote accept Bad English
S Oct 5, 2010 at 20:51
Aug 31, 2010 at 15:36 comment added Theo Johnson-Freyd Take your favorite group, and give it the indiscrete topology. Then the identity element comprises a dense cyclic subgroup. Presumably you don't want this.
Aug 31, 2010 at 12:11 comment added Keenan Kidwell Anything procyclic. Someone below already listed the $p$-adic integers, although I'm not sure why this example wasn't one in which you're interested. Another is the absolute Galois group of a finite field of size $q$, which is topologically generated ($=$ equal to the closure of the abstract subgroup generated) by the Frobenius automorphism $x\mapsto x^q$. This is just $\hat{\mathbb{Z}}$, the product over all primes $p$ of $\mathbb{Z}_p$.
Aug 31, 2010 at 11:44 vote accept Bad English
Aug 31, 2010 at 11:44
Aug 31, 2010 at 10:38 history edited Charles Matthews CC BY-SA 2.5
grammar
Aug 31, 2010 at 10:29 answer added Keivan Karai timeline score: 4
Aug 31, 2010 at 10:10 answer added Gjergji Zaimi timeline score: 5
Aug 31, 2010 at 9:58 answer added Xandi Tuni timeline score: 0
Aug 31, 2010 at 9:56 answer added Charles Matthews timeline score: 1
Aug 31, 2010 at 9:24 history asked Bad English CC BY-SA 2.5