Article ID Journal Published Year Pages File Type
8897422 Journal of Pure and Applied Algebra 2018 14 Pages PDF
Abstract
A p-group G is called a core-p2 group if |H:HG|≤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 p≥3, which is the best upper bound, and the derived length of a finite core-p2p-group is at most 3 if p≥3, which is also the best upper bound.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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