IJPAM: Volume 56, No. 2 (2009)


Liguo He$^1$, Hong Li$^2$
$^{1,2}$Department of Mathematics
Shenyang University of Technology
Shenyang, 110178, P.R. CHINA
$^1$e-mail: cowleyhe@yahoo.com.cn
$^2$e-mail: lihong-815@163.com

Abstract.There are a number of analogies between results of character degrees and conjugacy class sizes in finite groups. By analysis of the definition of monomial group (for short, $M$-group), we give several definitions of conjugacy class monomial groups (for short, CM-groups) and strong conjugacy class monomial groups (for short, SCM-groups). Moreover, we investigate the solvability of CM-groups and SCM-groups.

Received: September 9, 2009

AMS Subject Classification: 20D10

Key Words and Phrases: finite group, M-group, conjugacy class, character

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 56
Issue: 2