Qingjun Kong, "The Influence of Conjugacy Class Sizes on the Structure of Finite Groups," WSEAS Transactions on Mathematics, vol. 14, pp. 97-105, 2015, DOI:
Qingjun Kong. The Influence of Conjugacy Class Sizes on the Structure of Finite Groups.
WSEAS Transactions on Mathematics. 2015;14:97-105.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 14, 2015
The Influence of Conjugacy Class Sizes on the Structure of Finite Groups
Author:
Abstract: Let G be a finite p-solvable group and let G* be the set of p′-elements of primary and biprimary orders of G. We show that when the conjugacy class sizes of G* are {1, m,p^a,mp^a} with (m,p) = 1, then the p-complements of G are nilpotent and m is a prime power.
Pages: 97-105 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 14, 2015, Art. #10 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