Timeline for Profinite groups with finite torsion
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 8, 2018 at 22:48 | comment | added | YCor | A profinite abelian group is a product over primes $p$ of pro-$p$-groups. So your groups are just products over $p$ of abelian pro-$p$-groups with finite torsion, that is, extension with finite kernel of $\mathbf{Z}_p^{X_p}$ for some set $X_p$. | |
| Sep 8, 2018 at 16:35 | comment | added | Will Chen | The product of all $\mathbb{Z}/p$ for all primes $p$ is a profinite group with infinite torsion and yet satisfies your hypothesis. I don't know if you'll be able to find a useful general criterion, though you may be interested in the book by Ribes and Zalesskii, particularly their chapter 4.7 on "Torsion in the profinite completion of a group". | |
| Sep 8, 2018 at 16:19 | history | asked | cll | CC BY-SA 4.0 |