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.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 14, 2015
The Solvability of Finite Groups with Four Conjugacy Class Sizes
Author:
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.
Pages: 150-158 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 14, 2015, Art. #14 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
×
Citation Tools