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Abstract Let G be a finite group. Let further be three positive integers such that m1 and m2 do not divide each other and is coprime to m3. We prove… Click to show full abstract
Abstract Let G be a finite group. Let further be three positive integers such that m1 and m2 do not divide each other and is coprime to m3. We prove that if the set of conjugacy class sizes of a finite group G is then where A and B are satisfying and with m3 a prime power. In particular, G is solvable.
Keywords:
conjugacy class;
set conjugacy;
group;
class sizes
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!