article
Conjugacy class sizes of some real elements and solvability of finite groups
International Journal of Statistics and Applied Mathematics · 2017 · Vol. 2(1) · pp. 64–65
Abstract
Let G be a finite group. We mainly investigate how certain arithmetical conditions on conjugacy class sizes of all real elements of prime power orders of G influence the solvability of G. Some known results are generalized.Mathematics Subject Classification: 20D15, 20E45
Finite Group Theory ResearchCoding theory and cryptographygraph theory and CDMA systemsConjugacy classMathematicsArithmetic functionClass (philosophy)Prime (order theory)Finite groupPure mathematicsGroup (periodic table)CombinatoricsDiscrete mathematics
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