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Abstract A p -group G is called a core- p 2 group if | H : H G | ≤ p 2 for every subgroup H of G (where H… Click to show full abstract
Abstract A p -group G is called a core- p 2 group if | H : H G | ≤ p 2 for every subgroup H of G (where H G denotes the normal core of H in G ). In this paper, it is proved that the nilpotent class of a finite core- p 2 p -group is at most 5 if p ≥ 3 , which is the best upper bound, and the derived length of a finite core- p 2 p -group is at most 3 if p ≥ 3 , which is also the best upper bound.
Keywords:
core groups;
core group;
finite core;
core
Journal Title: Journal of Pure and Applied Algebra
Year Published: 2017
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Journal Title: Journal of Pure and Applied Algebra
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!