Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897422 | Journal of Pure and Applied Algebra | 2018 | 14 Pages |
Abstract
A p-group G is called a core-p2 group if |H:HG|â¤p2 for every subgroup H of G (where HG denotes the normal core of H in G). In this paper, it is proved that the nilpotent class of a finite core-p2p-group is at most 5 if pâ¥3, which is the best upper bound, and the derived length of a finite core-p2p-group is at most 3 if pâ¥3, which is also the best upper bound.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Heng Lv, Wei Zhou, Jianjun Liu,