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In this paper, we introduce a new function related to the sum of element orders of finite groups. It is used to give some criteria for a finite group to… Click to show full abstract
In this paper, we introduce a new function related to the sum of element orders of finite groups. It is used to give some criteria for a finite group to be cyclic, abelian, nilpotent, supersolvable and solvable, respectively.
Keywords:
finite groups;
detecting structural;
structural properties;
sum element;
element orders;
properties finite
Journal Title: Israel Journal of Mathematics
Year Published: 2019
Link to full text (if available)
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Journal Title: Israel Journal of Mathematics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!