Conjugacy Structure Type and Degree Structure Type in Finite p-groups

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 p5, and calculate k(G) for them.

Conjugacy Structure Type and Degree Structure Type in Finite p-groups

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 p5, and calculate k(G) for them.