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Abstract Let G be a finite group and let We prove that the coprime subgroup is nilpotent if and only if for any -commutators of coprime orders (Theorem A). Moreover,… Click to show full abstract
Abstract Let G be a finite group and let We prove that the coprime subgroup is nilpotent if and only if for any -commutators of coprime orders (Theorem A). Moreover, we show that the coprime subgroup is nilpotent if and only if for any powers of -commutators of coprime orders (Theorem B).
Keywords:
finite groups;
commutators finite;
coprime commutators
Journal Title: Communications in Algebra
Year Published: 2019
Link to full text (if available)
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Journal Title: Communications in Algebra
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!