Timeline for Dense cyclic subgroup
Current License: CC BY-SA 2.5
13 events
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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 |
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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 |