Physical Sciences and Mathematics Commons^™

Conjugacy Structure Type And Degree Structure Type In Finite P-Groups, Yadalah Marefat

Turkish Journal of Mathematics

Let $G$ be a finite $p-$group, and denote by $k(G)$ number of conjugacy classes in $G$. The aim of this paper is to introduce the conjugacy structure type and degree structure type for $p-$groups, and determine these parameters for $p-$groups of order $p^5$, and calculate $k(G)$ for them.