According to Bryant's theorem a periodic locally nilpotent group satisfying minimal condition on centralizers is virtually nilpotent. The c-dimension of a group is the supremum of lengths of chains of centralizers. We bound the index of the nilpotent radical of a locally nilpotent p-group of finite c-dimension k in terms of k and p.
- locally nilpotent p-group
- periodic locally nilpotent group
- 1.01 MATHEMATICS