Mathematics – Group Theory
Scientific paper
2004-04-16
Mathematics
Group Theory
5 pages, to appear in Siberian Mathematical Journal
Scientific paper
We prove that every nonabelian free group has a finitely generated isolated subgroup which is not separable in the class of nilpotent groups. This enables us to give a negative answer to the following question by D.I. Moldavanskii in the "Kourovka Notebook": Is it true that any finitely generated $p'$--isolated subgroup of a free group is separable in the class of finite $p$--groups?
No associations
LandOfFree
On D. I. Moldavanskii's question about $p$-separable subgroups of a free group does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On D. I. Moldavanskii's question about $p$-separable subgroups of a free group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On D. I. Moldavanskii's question about $p$-separable subgroups of a free group will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-400391