The Solvability of Finite Groups with Four Conjugacy Class Sizes

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Abstract: Let G be a finite group and let G* be the set of elements of primary and biprimary orders of G. We show that when the conjugacy class sizes of G* are {1, m, n, mn}, then G is solvable.

WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 14, 2015, Art. #14

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Ping Kang, "The Solvability of Finite Groups with Four Conjugacy Class Sizes," WSEAS Transactions on Mathematics, vol. 14, pp. 150-158, 2015, DOI:
Ping Kang. The Solvability of Finite Groups with Four Conjugacy Class Sizes. WSEAS Transactions on Mathematics. 2015;14:150-158.
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