University of Isfahan International Journal of Group Theory 2251-7650 2 2 2013 06 01 Character expansiveness in finite groups 9 17 1660 10.22108/ijgt.2013.1660 EN Zoltan Halasi University of Debrecen Attila Maroti Renyi Institute of Mathematics Franciska Petenyi Technical University of Budapest Journal Article 2012 06 06 We say that a finite group $G$ is conjugacy expansive if for any normal subset $S$ and any conjugacy class $C$ of $G$ the normal set $SC$ consists of at least as many conjugacy classes of $G$ as $S$ does. Halasi, Mar\'oti, Sidki, Bezerra have shown that a group is conjugacy expansive if and only if it is a direct product of conjugacy expansive simple or abelian groups. By considering a character analogue of the above, we say that a finite group $G$ is character expansive if for any complex character $\alpha$ and irreducible character $\chi$ of $G$ the character $\alpha \chi$ has at least as many irreducible constituents, counting without multiplicity, as $\alpha$ does. In this paper we take some initial steps in determining character expansive groups. https://ijgt.ui.ac.ir/article_1660_4335a14289e50a35e7186085ea9a408c.pdf